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Finding the Third Proportional to 48.39 and 74.97

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Solution

The third proportional to 48.39 and 74.97 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.39 : 74.97 = 74.97 : x
  2. Step 2: Convert to fraction form
    48.39/74.97 = 74.97/x
  3. Step 3: Cross multiply
    48.39x = 74.97 × 74.97
  4. Step 4: Simplify right side
    48.39x = 5,620.31
  5. Step 5: Solve for x
    x = 5,620.31/48.39
  6. Step 6: Final answer
    x = 116.14

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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.