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Finding the Third Proportional to 81,069 and 177,321

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Solution

The third proportional to 81,069 and 177,321 is: 387,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,069 : 177,321 = 177,321 : x
  2. Step 2: Convert to fraction form
    81,069/177,321 = 177,321/x
  3. Step 3: Cross multiply
    81,069x = 177,321 × 177,321
  4. Step 4: Simplify right side
    81,069x = 31,442,737,041
  5. Step 5: Solve for x
    x = 31,442,737,041/81,069
  6. Step 6: Final answer
    x = 387,851.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.