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Finding the Third Proportional to 617.20 and 1,337.34

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Solution

The third proportional to 617.20 and 1,337.34 is: 2,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 1,337.34 = 1,337.34 : x
  2. Step 2: Convert to fraction form
    617.20/1,337.34 = 1,337.34/x
  3. Step 3: Cross multiply
    617.20x = 1,337.34 × 1,337.34
  4. Step 4: Simplify right side
    617.20x = 1,788,488.31
  5. Step 5: Solve for x
    x = 1,788,488.31/617.20
  6. Step 6: Final answer
    x = 2,897.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.