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Finding the Third Proportional to 712.88 and 961.13

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Solution

The third proportional to 712.88 and 961.13 is: 1,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 961.13 = 961.13 : x
  2. Step 2: Convert to fraction form
    712.88/961.13 = 961.13/x
  3. Step 3: Cross multiply
    712.88x = 961.13 × 961.13
  4. Step 4: Simplify right side
    712.88x = 923,761.27
  5. Step 5: Solve for x
    x = 923,761.27/712.88
  6. Step 6: Final answer
    x = 1,295.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.