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Finding the Third Proportional to 78,869 and 170,374

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Solution

The third proportional to 78,869 and 170,374 is: 368,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869 : 170,374 = 170,374 : x
  2. Step 2: Convert to fraction form
    78,869/170,374 = 170,374/x
  3. Step 3: Cross multiply
    78,869x = 170,374 × 170,374
  4. Step 4: Simplify right side
    78,869x = 29,027,299,876
  5. Step 5: Solve for x
    x = 29,027,299,876/78,869
  6. Step 6: Final answer
    x = 368,044.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.