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Finding the Third Proportional to 39.71 and 61.54

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Solution

The third proportional to 39.71 and 61.54 is: 95.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.71 : 61.54 = 61.54 : x
  2. Step 2: Convert to fraction form
    39.71/61.54 = 61.54/x
  3. Step 3: Cross multiply
    39.71x = 61.54 × 61.54
  4. Step 4: Simplify right side
    39.71x = 3,787.30
  5. Step 5: Solve for x
    x = 3,787.30/39.71
  6. Step 6: Final answer
    x = 95.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.