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Finding the Third Proportional to 101.74 and 159.15

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Solution

The third proportional to 101.74 and 159.15 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 159.15 = 159.15 : x
  2. Step 2: Convert to fraction form
    101.74/159.15 = 159.15/x
  3. Step 3: Cross multiply
    101.74x = 159.15 × 159.15
  4. Step 4: Simplify right side
    101.74x = 25,329.47
  5. Step 5: Solve for x
    x = 25,329.47/101.74
  6. Step 6: Final answer
    x = 248.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.