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Finding the Third Proportional to 141,578,866,606.50 and 303,352,005,213

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Solution

The third proportional to 141,578,866,606.50 and 303,352,005,213 is: 649,972,988,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,578,866,606.50 : 303,352,005,213 = 303,352,005,213 : x
  2. Step 2: Convert to fraction form
    141,578,866,606.50/303,352,005,213 = 303,352,005,213/x
  3. Step 3: Cross multiply
    141,578,866,606.50x = 303,352,005,213 × 303,352,005,213
  4. Step 4: Simplify right side
    141,578,866,606.50x = 92,022,439,066,747,977,859,072
  5. Step 5: Solve for x
    x = 92,022,439,066,747,977,859,072/141,578,866,606.50
  6. Step 6: Final answer
    x = 649,972,988,712.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.