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Finding the Third Proportional to 1,402,125,085 and 3,028,121,720.50

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Solution

The third proportional to 1,402,125,085 and 3,028,121,720.50 is: 6,539,731,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,125,085 : 3,028,121,720.50 = 3,028,121,720.50 : x
  2. Step 2: Convert to fraction form
    1,402,125,085/3,028,121,720.50 = 3,028,121,720.50/x
  3. Step 3: Cross multiply
    1,402,125,085x = 3,028,121,720.50 × 3,028,121,720.50
  4. Step 4: Simplify right side
    1,402,125,085x = 9,169,521,154,163,879,936
  5. Step 5: Solve for x
    x = 9,169,521,154,163,879,936/1,402,125,085
  6. Step 6: Final answer
    x = 6,539,731,192.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.