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Finding the Third Proportional to 9,864.28 and 15,331.78

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Solution

The third proportional to 9,864.28 and 15,331.78 is: 23,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.28 : 15,331.78 = 15,331.78 : x
  2. Step 2: Convert to fraction form
    9,864.28/15,331.78 = 15,331.78/x
  3. Step 3: Cross multiply
    9,864.28x = 15,331.78 × 15,331.78
  4. Step 4: Simplify right side
    9,864.28x = 235,063,516.30
  5. Step 5: Solve for x
    x = 235,063,516.30/9,864.28
  6. Step 6: Final answer
    x = 23,829.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.