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Finding the Third Proportional to 871.03 and 1,329.61

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Solution

The third proportional to 871.03 and 1,329.61 is: 2,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.03 : 1,329.61 = 1,329.61 : x
  2. Step 2: Convert to fraction form
    871.03/1,329.61 = 1,329.61/x
  3. Step 3: Cross multiply
    871.03x = 1,329.61 × 1,329.61
  4. Step 4: Simplify right side
    871.03x = 1,767,861.09
  5. Step 5: Solve for x
    x = 1,767,861.09/871.03
  6. Step 6: Final answer
    x = 2,029.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.