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Finding the Third Proportional to 78,921 and 106,677

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Solution

The third proportional to 78,921 and 106,677 is: 144,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921 : 106,677 = 106,677 : x
  2. Step 2: Convert to fraction form
    78,921/106,677 = 106,677/x
  3. Step 3: Cross multiply
    78,921x = 106,677 × 106,677
  4. Step 4: Simplify right side
    78,921x = 11,379,982,329
  5. Step 5: Solve for x
    x = 11,379,982,329/78,921
  6. Step 6: Final answer
    x = 144,194.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.