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Finding the Third Proportional to 38,540 and 57,486

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Solution

The third proportional to 38,540 and 57,486 is: 85,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540 : 57,486 = 57,486 : x
  2. Step 2: Convert to fraction form
    38,540/57,486 = 57,486/x
  3. Step 3: Cross multiply
    38,540x = 57,486 × 57,486
  4. Step 4: Simplify right side
    38,540x = 3,304,640,196
  5. Step 5: Solve for x
    x = 3,304,640,196/38,540
  6. Step 6: Final answer
    x = 85,745.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.