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Finding the Third Proportional to 78,909 and 169,847

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Solution

The third proportional to 78,909 and 169,847 is: 365,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,909 : 169,847 = 169,847 : x
  2. Step 2: Convert to fraction form
    78,909/169,847 = 169,847/x
  3. Step 3: Cross multiply
    78,909x = 169,847 × 169,847
  4. Step 4: Simplify right side
    78,909x = 28,848,003,409
  5. Step 5: Solve for x
    x = 28,848,003,409/78,909
  6. Step 6: Final answer
    x = 365,585.72

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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.