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Finding the Third Proportional to 871.62 and 1,345.87

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Solution

The third proportional to 871.62 and 1,345.87 is: 2,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.62 : 1,345.87 = 1,345.87 : x
  2. Step 2: Convert to fraction form
    871.62/1,345.87 = 1,345.87/x
  3. Step 3: Cross multiply
    871.62x = 1,345.87 × 1,345.87
  4. Step 4: Simplify right side
    871.62x = 1,811,375.57
  5. Step 5: Solve for x
    x = 1,811,375.57/871.62
  6. Step 6: Final answer
    x = 2,078.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.