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Finding the Third Proportional to 502.25 and 781.25

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Solution

The third proportional to 502.25 and 781.25 is: 1,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 781.25 = 781.25 : x
  2. Step 2: Convert to fraction form
    502.25/781.25 = 781.25/x
  3. Step 3: Cross multiply
    502.25x = 781.25 × 781.25
  4. Step 4: Simplify right side
    502.25x = 610,351.56
  5. Step 5: Solve for x
    x = 610,351.56/502.25
  6. Step 6: Final answer
    x = 1,215.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.