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Finding the Third Proportional to 78,876 and 87,435

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Solution

The third proportional to 78,876 and 87,435 is: 96,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 87,435 = 87,435 : x
  2. Step 2: Convert to fraction form
    78,876/87,435 = 87,435/x
  3. Step 3: Cross multiply
    78,876x = 87,435 × 87,435
  4. Step 4: Simplify right side
    78,876x = 7,644,879,225
  5. Step 5: Solve for x
    x = 7,644,879,225/78,876
  6. Step 6: Final answer
    x = 96,922.76

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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.