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Finding the Third Proportional to 38,540 and 57,651

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Solution

The third proportional to 38,540 and 57,651 is: 86,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540 : 57,651 = 57,651 : x
  2. Step 2: Convert to fraction form
    38,540/57,651 = 57,651/x
  3. Step 3: Cross multiply
    38,540x = 57,651 × 57,651
  4. Step 4: Simplify right side
    38,540x = 3,323,637,801
  5. Step 5: Solve for x
    x = 3,323,637,801/38,540
  6. Step 6: Final answer
    x = 86,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.