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Finding the Third Proportional to 479.12 and 752.85

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Solution

The third proportional to 479.12 and 752.85 is: 1,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.12 : 752.85 = 752.85 : x
  2. Step 2: Convert to fraction form
    479.12/752.85 = 752.85/x
  3. Step 3: Cross multiply
    479.12x = 752.85 × 752.85
  4. Step 4: Simplify right side
    479.12x = 566,781.80
  5. Step 5: Solve for x
    x = 566,781.80/479.12
  6. Step 6: Final answer
    x = 1,182.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.