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Finding the Third Proportional to 939.66 and 2,174.91

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Solution

The third proportional to 939.66 and 2,174.91 is: 5,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.66 : 2,174.91 = 2,174.91 : x
  2. Step 2: Convert to fraction form
    939.66/2,174.91 = 2,174.91/x
  3. Step 3: Cross multiply
    939.66x = 2,174.91 × 2,174.91
  4. Step 4: Simplify right side
    939.66x = 4,730,217.20
  5. Step 5: Solve for x
    x = 4,730,217.20/939.66
  6. Step 6: Final answer
    x = 5,033.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.