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Finding the Third Proportional to 81,396 and 177,489

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Solution

The third proportional to 81,396 and 177,489 is: 387,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 177,489 = 177,489 : x
  2. Step 2: Convert to fraction form
    81,396/177,489 = 177,489/x
  3. Step 3: Cross multiply
    81,396x = 177,489 × 177,489
  4. Step 4: Simplify right side
    81,396x = 31,502,345,121
  5. Step 5: Solve for x
    x = 31,502,345,121/81,396
  6. Step 6: Final answer
    x = 387,025.72

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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.