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Finding the Third Proportional to 311.58 and 655.20

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Solution

The third proportional to 311.58 and 655.20 is: 1,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 655.20 = 655.20 : x
  2. Step 2: Convert to fraction form
    311.58/655.20 = 655.20/x
  3. Step 3: Cross multiply
    311.58x = 655.20 × 655.20
  4. Step 4: Simplify right side
    311.58x = 429,284.74
  5. Step 5: Solve for x
    x = 429,284.74/311.58
  6. Step 6: Final answer
    x = 1,377.76

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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.