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Finding the Third Proportional to 9,712,730 and 20,981,620

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Solution

The third proportional to 9,712,730 and 20,981,620 is: 45,324,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,730 : 20,981,620 = 20,981,620 : x
  2. Step 2: Convert to fraction form
    9,712,730/20,981,620 = 20,981,620/x
  3. Step 3: Cross multiply
    9,712,730x = 20,981,620 × 20,981,620
  4. Step 4: Simplify right side
    9,712,730x = 440,228,377,824,400
  5. Step 5: Solve for x
    x = 440,228,377,824,400/9,712,730
  6. Step 6: Final answer
    x = 45,324,885.78

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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.