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Finding the Third Proportional to 121,798,770 and 165,897,387

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Solution

The third proportional to 121,798,770 and 165,897,387 is: 225,962,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798,770 : 165,897,387 = 165,897,387 : x
  2. Step 2: Convert to fraction form
    121,798,770/165,897,387 = 165,897,387/x
  3. Step 3: Cross multiply
    121,798,770x = 165,897,387 × 165,897,387
  4. Step 4: Simplify right side
    121,798,770x = 27,521,943,013,427,768
  5. Step 5: Solve for x
    x = 27,521,943,013,427,768/121,798,770
  6. Step 6: Final answer
    x = 225,962,405.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.