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Finding the Third Proportional to 115.72 and 169.53

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Solution

The third proportional to 115.72 and 169.53 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 169.53 = 169.53 : x
  2. Step 2: Convert to fraction form
    115.72/169.53 = 169.53/x
  3. Step 3: Cross multiply
    115.72x = 169.53 × 169.53
  4. Step 4: Simplify right side
    115.72x = 28,740.84
  5. Step 5: Solve for x
    x = 28,740.84/115.72
  6. Step 6: Final answer
    x = 248.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.