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Finding the Third Proportional to 502.73 and 757.27

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Solution

The third proportional to 502.73 and 757.27 is: 1,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.73 : 757.27 = 757.27 : x
  2. Step 2: Convert to fraction form
    502.73/757.27 = 757.27/x
  3. Step 3: Cross multiply
    502.73x = 757.27 × 757.27
  4. Step 4: Simplify right side
    502.73x = 573,451.23
  5. Step 5: Solve for x
    x = 573,451.23/502.73
  6. Step 6: Final answer
    x = 1,140.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.