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Finding the Third Proportional to 398.67 and 656.86

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Solution

The third proportional to 398.67 and 656.86 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 656.86 = 656.86 : x
  2. Step 2: Convert to fraction form
    398.67/656.86 = 656.86/x
  3. Step 3: Cross multiply
    398.67x = 656.86 × 656.86
  4. Step 4: Simplify right side
    398.67x = 431,464.24
  5. Step 5: Solve for x
    x = 431,464.24/398.67
  6. Step 6: Final answer
    x = 1,082.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.