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Finding the Third Proportional to 31,780 and 68,486

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Solution

The third proportional to 31,780 and 68,486 is: 147,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780 : 68,486 = 68,486 : x
  2. Step 2: Convert to fraction form
    31,780/68,486 = 68,486/x
  3. Step 3: Cross multiply
    31,780x = 68,486 × 68,486
  4. Step 4: Simplify right side
    31,780x = 4,690,332,196
  5. Step 5: Solve for x
    x = 4,690,332,196/31,780
  6. Step 6: Final answer
    x = 147,587.55

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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.