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Finding the Third Proportional to 157.13 and 169.69

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Solution

The third proportional to 157.13 and 169.69 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 169.69 = 169.69 : x
  2. Step 2: Convert to fraction form
    157.13/169.69 = 169.69/x
  3. Step 3: Cross multiply
    157.13x = 169.69 × 169.69
  4. Step 4: Simplify right side
    157.13x = 28,793.85
  5. Step 5: Solve for x
    x = 28,793.85/157.13
  6. Step 6: Final answer
    x = 183.25

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.