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Finding the Third Proportional to 240.75 and 374.27

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Solution

The third proportional to 240.75 and 374.27 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 374.27 = 374.27 : x
  2. Step 2: Convert to fraction form
    240.75/374.27 = 374.27/x
  3. Step 3: Cross multiply
    240.75x = 374.27 × 374.27
  4. Step 4: Simplify right side
    240.75x = 140,080.61
  5. Step 5: Solve for x
    x = 140,080.61/240.75
  6. Step 6: Final answer
    x = 581.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.