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Finding the Third Proportional to 789.05 and 873.42

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Solution

The third proportional to 789.05 and 873.42 is: 966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 873.42 = 873.42 : x
  2. Step 2: Convert to fraction form
    789.05/873.42 = 873.42/x
  3. Step 3: Cross multiply
    789.05x = 873.42 × 873.42
  4. Step 4: Simplify right side
    789.05x = 762,865.77
  5. Step 5: Solve for x
    x = 762,865.77/789.05
  6. Step 6: Final answer
    x = 966.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.