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Finding the Third Proportional to 496.31 and 671.91

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Solution

The third proportional to 496.31 and 671.91 is: 909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.31 : 671.91 = 671.91 : x
  2. Step 2: Convert to fraction form
    496.31/671.91 = 671.91/x
  3. Step 3: Cross multiply
    496.31x = 671.91 × 671.91
  4. Step 4: Simplify right side
    496.31x = 451,458.01
  5. Step 5: Solve for x
    x = 451,458.01/496.31
  6. Step 6: Final answer
    x = 909.62

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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.