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Finding the Third Proportional to 657.42 and 991.20

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Solution

The third proportional to 657.42 and 991.20 is: 1,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 991.20 = 991.20 : x
  2. Step 2: Convert to fraction form
    657.42/991.20 = 991.20/x
  3. Step 3: Cross multiply
    657.42x = 991.20 × 991.20
  4. Step 4: Simplify right side
    657.42x = 982,468.15
  5. Step 5: Solve for x
    x = 982,468.15/657.42
  6. Step 6: Final answer
    x = 1,494.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.