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Finding the Third Proportional to 871.17 and 1,181.88

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Solution

The third proportional to 871.17 and 1,181.88 is: 1,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.17 : 1,181.88 = 1,181.88 : x
  2. Step 2: Convert to fraction form
    871.17/1,181.88 = 1,181.88/x
  3. Step 3: Cross multiply
    871.17x = 1,181.88 × 1,181.88
  4. Step 4: Simplify right side
    871.17x = 1,396,846.98
  5. Step 5: Solve for x
    x = 1,396,846.98/871.17
  6. Step 6: Final answer
    x = 1,603.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.