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Finding the Third Proportional to 24.78 and 39.14

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Solution

The third proportional to 24.78 and 39.14 is: 61.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 39.14 = 39.14 : x
  2. Step 2: Convert to fraction form
    24.78/39.14 = 39.14/x
  3. Step 3: Cross multiply
    24.78x = 39.14 × 39.14
  4. Step 4: Simplify right side
    24.78x = 1,532.15
  5. Step 5: Solve for x
    x = 1,532.15/24.78
  6. Step 6: Final answer
    x = 61.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.