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Finding the Third Proportional to 240.79 and 374.31

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Solution

The third proportional to 240.79 and 374.31 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.79 : 374.31 = 374.31 : x
  2. Step 2: Convert to fraction form
    240.79/374.31 = 374.31/x
  3. Step 3: Cross multiply
    240.79x = 374.31 × 374.31
  4. Step 4: Simplify right side
    240.79x = 140,106.92
  5. Step 5: Solve for x
    x = 140,106.92/240.79
  6. Step 6: Final answer
    x = 581.88

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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.