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Finding the Third Proportional to 66,508,721 and 155,394,381

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Solution

The third proportional to 66,508,721 and 155,394,381 is: 363,071,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508,721 : 155,394,381 = 155,394,381 : x
  2. Step 2: Convert to fraction form
    66,508,721/155,394,381 = 155,394,381/x
  3. Step 3: Cross multiply
    66,508,721x = 155,394,381 × 155,394,381
  4. Step 4: Simplify right side
    66,508,721x = 24,147,413,646,373,160
  5. Step 5: Solve for x
    x = 24,147,413,646,373,160/66,508,721
  6. Step 6: Final answer
    x = 363,071,387.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.