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Finding the Third Proportional to 659.38 and 927.69

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Solution

The third proportional to 659.38 and 927.69 is: 1,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 927.69 = 927.69 : x
  2. Step 2: Convert to fraction form
    659.38/927.69 = 927.69/x
  3. Step 3: Cross multiply
    659.38x = 927.69 × 927.69
  4. Step 4: Simplify right side
    659.38x = 860,604.10
  5. Step 5: Solve for x
    x = 860,604.10/659.38
  6. Step 6: Final answer
    x = 1,305.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.