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Finding the Third Proportional to 81,396 and 177,480

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Solution

The third proportional to 81,396 and 177,480 is: 386,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 177,480 = 177,480 : x
  2. Step 2: Convert to fraction form
    81,396/177,480 = 177,480/x
  3. Step 3: Cross multiply
    81,396x = 177,480 × 177,480
  4. Step 4: Simplify right side
    81,396x = 31,499,150,400
  5. Step 5: Solve for x
    x = 31,499,150,400/81,396
  6. Step 6: Final answer
    x = 386,986.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.