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Finding the Third Proportional to 81,469 and 170,726

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Solution

The third proportional to 81,469 and 170,726 is: 357,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469 : 170,726 = 170,726 : x
  2. Step 2: Convert to fraction form
    81,469/170,726 = 170,726/x
  3. Step 3: Cross multiply
    81,469x = 170,726 × 170,726
  4. Step 4: Simplify right side
    81,469x = 29,147,367,076
  5. Step 5: Solve for x
    x = 29,147,367,076/81,469
  6. Step 6: Final answer
    x = 357,772.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.