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Finding the Third Proportional to 78,170 and 121,198

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Solution

The third proportional to 78,170 and 121,198 is: 187,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170 : 121,198 = 121,198 : x
  2. Step 2: Convert to fraction form
    78,170/121,198 = 121,198/x
  3. Step 3: Cross multiply
    78,170x = 121,198 × 121,198
  4. Step 4: Simplify right side
    78,170x = 14,688,955,204
  5. Step 5: Solve for x
    x = 14,688,955,204/78,170
  6. Step 6: Final answer
    x = 187,910.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.