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Finding the Third Proportional to 502.50 and 781.50

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Solution

The third proportional to 502.50 and 781.50 is: 1,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 781.50 = 781.50 : x
  2. Step 2: Convert to fraction form
    502.50/781.50 = 781.50/x
  3. Step 3: Cross multiply
    502.50x = 781.50 × 781.50
  4. Step 4: Simplify right side
    502.50x = 610,742.25
  5. Step 5: Solve for x
    x = 610,742.25/502.50
  6. Step 6: Final answer
    x = 1,215.41

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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.