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Finding the Third Proportional to 39.66 and 62.16

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Solution

The third proportional to 39.66 and 62.16 is: 97.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 62.16 = 62.16 : x
  2. Step 2: Convert to fraction form
    39.66/62.16 = 62.16/x
  3. Step 3: Cross multiply
    39.66x = 62.16 × 62.16
  4. Step 4: Simplify right side
    39.66x = 3,863.40
  5. Step 5: Solve for x
    x = 3,863.40/39.66
  6. Step 6: Final answer
    x = 97.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.