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Finding the Third Proportional to 38,408 and 51,660

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Solution

The third proportional to 38,408 and 51,660 is: 69,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408 : 51,660 = 51,660 : x
  2. Step 2: Convert to fraction form
    38,408/51,660 = 51,660/x
  3. Step 3: Cross multiply
    38,408x = 51,660 × 51,660
  4. Step 4: Simplify right side
    38,408x = 2,668,755,600
  5. Step 5: Solve for x
    x = 2,668,755,600/38,408
  6. Step 6: Final answer
    x = 69,484.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.