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Finding the Third Proportional to 78,809 and 170,725

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Solution

The third proportional to 78,809 and 170,725 is: 369,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,809 : 170,725 = 170,725 : x
  2. Step 2: Convert to fraction form
    78,809/170,725 = 170,725/x
  3. Step 3: Cross multiply
    78,809x = 170,725 × 170,725
  4. Step 4: Simplify right side
    78,809x = 29,147,025,625
  5. Step 5: Solve for x
    x = 29,147,025,625/78,809
  6. Step 6: Final answer
    x = 369,843.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.