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Finding the Third Proportional to 609.61 and 871.17

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Solution

The third proportional to 609.61 and 871.17 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.61 : 871.17 = 871.17 : x
  2. Step 2: Convert to fraction form
    609.61/871.17 = 871.17/x
  3. Step 3: Cross multiply
    609.61x = 871.17 × 871.17
  4. Step 4: Simplify right side
    609.61x = 758,940.44
  5. Step 5: Solve for x
    x = 758,940.44/609.61
  6. Step 6: Final answer
    x = 1,244.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.