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Finding the Third Proportional to 760,402,726,713.50 and 1,631,190,333,846.60

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Solution

The third proportional to 760,402,726,713.50 and 1,631,190,333,846.60 is: 3,499,174,597,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,402,726,713.50 : 1,631,190,333,846.60 = 1,631,190,333,846.60 : x
  2. Step 2: Convert to fraction form
    760,402,726,713.50/1,631,190,333,846.60 = 1,631,190,333,846.60/x
  3. Step 3: Cross multiply
    760,402,726,713.50x = 1,631,190,333,846.60 × 1,631,190,333,846.60
  4. Step 4: Simplify right side
    760,402,726,713.50x = 2,660,781,905,234,582,451,519,488
  5. Step 5: Solve for x
    x = 2,660,781,905,234,582,451,519,488/760,402,726,713.50
  6. Step 6: Final answer
    x = 3,499,174,597,564.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.