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Finding the Third Proportional to 665.44 and 721.31

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Solution

The third proportional to 665.44 and 721.31 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 721.31 = 721.31 : x
  2. Step 2: Convert to fraction form
    665.44/721.31 = 721.31/x
  3. Step 3: Cross multiply
    665.44x = 721.31 × 721.31
  4. Step 4: Simplify right side
    665.44x = 520,291.72
  5. Step 5: Solve for x
    x = 520,291.72/665.44
  6. Step 6: Final answer
    x = 781.88

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.