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Finding the Third Proportional to 9,662,314.50 and 20,442,864.38

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Solution

The third proportional to 9,662,314.50 and 20,442,864.38 is: 43,251,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,314.50 : 20,442,864.38 = 20,442,864.38 : x
  2. Step 2: Convert to fraction form
    9,662,314.50/20,442,864.38 = 20,442,864.38/x
  3. Step 3: Cross multiply
    9,662,314.50x = 20,442,864.38 × 20,442,864.38
  4. Step 4: Simplify right side
    9,662,314.50x = 417,910,703,854,644.12
  5. Step 5: Solve for x
    x = 417,910,703,854,644.12/9,662,314.50
  6. Step 6: Final answer
    x = 43,251,614.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.