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Finding the Third Proportional to 500 and 747.25

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Solution

The third proportional to 500 and 747.25 is: 1,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 747.25 = 747.25 : x
  2. Step 2: Convert to fraction form
    500/747.25 = 747.25/x
  3. Step 3: Cross multiply
    500x = 747.25 × 747.25
  4. Step 4: Simplify right side
    500x = 558,382.56
  5. Step 5: Solve for x
    x = 558,382.56/500
  6. Step 6: Final answer
    x = 1,116.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.