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Finding the Third Proportional to 540.98 and 721.97

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Solution

The third proportional to 540.98 and 721.97 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 721.97 = 721.97 : x
  2. Step 2: Convert to fraction form
    540.98/721.97 = 721.97/x
  3. Step 3: Cross multiply
    540.98x = 721.97 × 721.97
  4. Step 4: Simplify right side
    540.98x = 521,238.88
  5. Step 5: Solve for x
    x = 521,238.88/540.98
  6. Step 6: Final answer
    x = 963.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.