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Finding the Third Proportional to 871.73 and 1,877.20

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Solution

The third proportional to 871.73 and 1,877.20 is: 4,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.73 : 1,877.20 = 1,877.20 : x
  2. Step 2: Convert to fraction form
    871.73/1,877.20 = 1,877.20/x
  3. Step 3: Cross multiply
    871.73x = 1,877.20 × 1,877.20
  4. Step 4: Simplify right side
    871.73x = 3,523,891.57
  5. Step 5: Solve for x
    x = 3,523,891.57/871.73
  6. Step 6: Final answer
    x = 4,042.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.