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Finding the Third Proportional to 31,498 and 67,207

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Solution

The third proportional to 31,498 and 67,207 is: 143,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 67,207 = 67,207 : x
  2. Step 2: Convert to fraction form
    31,498/67,207 = 67,207/x
  3. Step 3: Cross multiply
    31,498x = 67,207 × 67,207
  4. Step 4: Simplify right side
    31,498x = 4,516,780,849
  5. Step 5: Solve for x
    x = 4,516,780,849/31,498
  6. Step 6: Final answer
    x = 143,398.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.