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Finding the Third Proportional to 38.53 and 52.17

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Solution

The third proportional to 38.53 and 52.17 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 52.17 = 52.17 : x
  2. Step 2: Convert to fraction form
    38.53/52.17 = 52.17/x
  3. Step 3: Cross multiply
    38.53x = 52.17 × 52.17
  4. Step 4: Simplify right side
    38.53x = 2,721.90
  5. Step 5: Solve for x
    x = 2,721.90/38.53
  6. Step 6: Final answer
    x = 70.64

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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.