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Finding the Third Proportional to 311.20 and 652.22

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Solution

The third proportional to 311.20 and 652.22 is: 1,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.20 : 652.22 = 652.22 : x
  2. Step 2: Convert to fraction form
    311.20/652.22 = 652.22/x
  3. Step 3: Cross multiply
    311.20x = 652.22 × 652.22
  4. Step 4: Simplify right side
    311.20x = 425,389.30
  5. Step 5: Solve for x
    x = 425,389.30/311.20
  6. Step 6: Final answer
    x = 1,366.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.