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Finding the Third Proportional to 78,725.25 and 169,882.88

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Solution

The third proportional to 78,725.25 and 169,882.88 is: 366,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,725.25 : 169,882.88 = 169,882.88 : x
  2. Step 2: Convert to fraction form
    78,725.25/169,882.88 = 169,882.88/x
  3. Step 3: Cross multiply
    78,725.25x = 169,882.88 × 169,882.88
  4. Step 4: Simplify right side
    78,725.25x = 28,860,191,218.27
  5. Step 5: Solve for x
    x = 28,860,191,218.27/78,725.25
  6. Step 6: Final answer
    x = 366,593.83

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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.