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Finding the Third Proportional to 304.38 and 663.61

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Solution

The third proportional to 304.38 and 663.61 is: 1,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 663.61 = 663.61 : x
  2. Step 2: Convert to fraction form
    304.38/663.61 = 663.61/x
  3. Step 3: Cross multiply
    304.38x = 663.61 × 663.61
  4. Step 4: Simplify right side
    304.38x = 440,377.40
  5. Step 5: Solve for x
    x = 440,377.40/304.38
  6. Step 6: Final answer
    x = 1,446.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.