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Finding the Third Proportional to 78,908 and 169,845

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Solution

The third proportional to 78,908 and 169,845 is: 365,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,908 : 169,845 = 169,845 : x
  2. Step 2: Convert to fraction form
    78,908/169,845 = 169,845/x
  3. Step 3: Cross multiply
    78,908x = 169,845 × 169,845
  4. Step 4: Simplify right side
    78,908x = 28,847,324,025
  5. Step 5: Solve for x
    x = 28,847,324,025/78,908
  6. Step 6: Final answer
    x = 365,581.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.