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Finding the Third Proportional to 51,071,472 and 81,304,092

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Solution

The third proportional to 51,071,472 and 81,304,092 is: 129,433,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071,472 : 81,304,092 = 81,304,092 : x
  2. Step 2: Convert to fraction form
    51,071,472/81,304,092 = 81,304,092/x
  3. Step 3: Cross multiply
    51,071,472x = 81,304,092 × 81,304,092
  4. Step 4: Simplify right side
    51,071,472x = 6,610,355,375,944,464
  5. Step 5: Solve for x
    x = 6,610,355,375,944,464/51,071,472
  6. Step 6: Final answer
    x = 129,433,421.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.