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Finding the Third Proportional to 658.97 and 1,391.34

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Solution

The third proportional to 658.97 and 1,391.34 is: 2,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.97 : 1,391.34 = 1,391.34 : x
  2. Step 2: Convert to fraction form
    658.97/1,391.34 = 1,391.34/x
  3. Step 3: Cross multiply
    658.97x = 1,391.34 × 1,391.34
  4. Step 4: Simplify right side
    658.97x = 1,935,837.43
  5. Step 5: Solve for x
    x = 1,935,837.43/658.97
  6. Step 6: Final answer
    x = 2,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.