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Finding the Third Proportional to 81.42 and 151.03

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Solution

The third proportional to 81.42 and 151.03 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 151.03 = 151.03 : x
  2. Step 2: Convert to fraction form
    81.42/151.03 = 151.03/x
  3. Step 3: Cross multiply
    81.42x = 151.03 × 151.03
  4. Step 4: Simplify right side
    81.42x = 22,810.44
  5. Step 5: Solve for x
    x = 22,810.44/81.42
  6. Step 6: Final answer
    x = 280.15

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.