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Finding the Third Proportional to 663.61 and 1,459.27

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Solution

The third proportional to 663.61 and 1,459.27 is: 3,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 1,459.27 = 1,459.27 : x
  2. Step 2: Convert to fraction form
    663.61/1,459.27 = 1,459.27/x
  3. Step 3: Cross multiply
    663.61x = 1,459.27 × 1,459.27
  4. Step 4: Simplify right side
    663.61x = 2,129,456.16
  5. Step 5: Solve for x
    x = 2,129,456.16/663.61
  6. Step 6: Final answer
    x = 3,208.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.