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Finding the Third Proportional to 81,918 and 172,080

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Solution

The third proportional to 81,918 and 172,080 is: 361,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,918 : 172,080 = 172,080 : x
  2. Step 2: Convert to fraction form
    81,918/172,080 = 172,080/x
  3. Step 3: Cross multiply
    81,918x = 172,080 × 172,080
  4. Step 4: Simplify right side
    81,918x = 29,611,526,400
  5. Step 5: Solve for x
    x = 29,611,526,400/81,918
  6. Step 6: Final answer
    x = 361,477.65

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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.