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Finding the Third Proportional to 520.31 and 781.88

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Solution

The third proportional to 520.31 and 781.88 is: 1,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.31 : 781.88 = 781.88 : x
  2. Step 2: Convert to fraction form
    520.31/781.88 = 781.88/x
  3. Step 3: Cross multiply
    520.31x = 781.88 × 781.88
  4. Step 4: Simplify right side
    520.31x = 611,328.52
  5. Step 5: Solve for x
    x = 611,328.52/520.31
  6. Step 6: Final answer
    x = 1,174.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.