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Finding the Third Proportional to 240.56 and 519.94

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Solution

The third proportional to 240.56 and 519.94 is: 1,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.56 : 519.94 = 519.94 : x
  2. Step 2: Convert to fraction form
    240.56/519.94 = 519.94/x
  3. Step 3: Cross multiply
    240.56x = 519.94 × 519.94
  4. Step 4: Simplify right side
    240.56x = 270,335.00
  5. Step 5: Solve for x
    x = 270,335.00/240.56
  6. Step 6: Final answer
    x = 1,123.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.