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Finding the Third Proportional to 151.18 and 331.18

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Solution

The third proportional to 151.18 and 331.18 is: 725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 331.18 = 331.18 : x
  2. Step 2: Convert to fraction form
    151.18/331.18 = 331.18/x
  3. Step 3: Cross multiply
    151.18x = 331.18 × 331.18
  4. Step 4: Simplify right side
    151.18x = 109,679.18
  5. Step 5: Solve for x
    x = 109,679.18/151.18
  6. Step 6: Final answer
    x = 725.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.