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Finding the Third Proportional to 63,442 and 137,815

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Solution

The third proportional to 63,442 and 137,815 is: 299,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,442 : 137,815 = 137,815 : x
  2. Step 2: Convert to fraction form
    63,442/137,815 = 137,815/x
  3. Step 3: Cross multiply
    63,442x = 137,815 × 137,815
  4. Step 4: Simplify right side
    63,442x = 18,992,974,225
  5. Step 5: Solve for x
    x = 18,992,974,225/63,442
  6. Step 6: Final answer
    x = 299,375.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.