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Finding the Third Proportional to 617.67 and 1,337.81

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Solution

The third proportional to 617.67 and 1,337.81 is: 2,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 1,337.81 = 1,337.81 : x
  2. Step 2: Convert to fraction form
    617.67/1,337.81 = 1,337.81/x
  3. Step 3: Cross multiply
    617.67x = 1,337.81 × 1,337.81
  4. Step 4: Simplify right side
    617.67x = 1,789,742.29
  5. Step 5: Solve for x
    x = 1,789,742.29/617.67
  6. Step 6: Final answer
    x = 2,897.56

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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.