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Finding the Third Proportional to 621.42 and 871.10

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Solution

The third proportional to 621.42 and 871.10 is: 1,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 871.10 = 871.10 : x
  2. Step 2: Convert to fraction form
    621.42/871.10 = 871.10/x
  3. Step 3: Cross multiply
    621.42x = 871.10 × 871.10
  4. Step 4: Simplify right side
    621.42x = 758,817.93
  5. Step 5: Solve for x
    x = 758,817.93/621.42
  6. Step 6: Final answer
    x = 1,221.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.