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Finding the Third Proportional to 47.53 and 101.74

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Solution

The third proportional to 47.53 and 101.74 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 101.74 = 101.74 : x
  2. Step 2: Convert to fraction form
    47.53/101.74 = 101.74/x
  3. Step 3: Cross multiply
    47.53x = 101.74 × 101.74
  4. Step 4: Simplify right side
    47.53x = 10,351.47
  5. Step 5: Solve for x
    x = 10,351.47/47.53
  6. Step 6: Final answer
    x = 217.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.