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Finding the Third Proportional to 78,876 and 110,677

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Solution

The third proportional to 78,876 and 110,677 is: 155,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 110,677 = 110,677 : x
  2. Step 2: Convert to fraction form
    78,876/110,677 = 110,677/x
  3. Step 3: Cross multiply
    78,876x = 110,677 × 110,677
  4. Step 4: Simplify right side
    78,876x = 12,249,398,329
  5. Step 5: Solve for x
    x = 12,249,398,329/78,876
  6. Step 6: Final answer
    x = 155,299.44

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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.