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Finding the Third Proportional to 311.34 and 717.61

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Solution

The third proportional to 311.34 and 717.61 is: 1,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 717.61 = 717.61 : x
  2. Step 2: Convert to fraction form
    311.34/717.61 = 717.61/x
  3. Step 3: Cross multiply
    311.34x = 717.61 × 717.61
  4. Step 4: Simplify right side
    311.34x = 514,963.22
  5. Step 5: Solve for x
    x = 514,963.22/311.34
  6. Step 6: Final answer
    x = 1,654.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.