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Finding the Third Proportional to 240.72 and 387.66

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Solution

The third proportional to 240.72 and 387.66 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 387.66 = 387.66 : x
  2. Step 2: Convert to fraction form
    240.72/387.66 = 387.66/x
  3. Step 3: Cross multiply
    240.72x = 387.66 × 387.66
  4. Step 4: Simplify right side
    240.72x = 150,277.37
  5. Step 5: Solve for x
    x = 150,277.37/240.72
  6. Step 6: Final answer
    x = 624.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.