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Finding the Third Proportional to 617.38 and 1,337.13

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Solution

The third proportional to 617.38 and 1,337.13 is: 2,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 1,337.13 = 1,337.13 : x
  2. Step 2: Convert to fraction form
    617.38/1,337.13 = 1,337.13/x
  3. Step 3: Cross multiply
    617.38x = 1,337.13 × 1,337.13
  4. Step 4: Simplify right side
    617.38x = 1,787,903.27
  5. Step 5: Solve for x
    x = 1,787,903.27/617.38
  6. Step 6: Final answer
    x = 2,895.98

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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.