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Finding the Third Proportional to 81,864 and 178,320

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Solution

The third proportional to 81,864 and 178,320 is: 388,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 178,320 = 178,320 : x
  2. Step 2: Convert to fraction form
    81,864/178,320 = 178,320/x
  3. Step 3: Cross multiply
    81,864x = 178,320 × 178,320
  4. Step 4: Simplify right side
    81,864x = 31,798,022,400
  5. Step 5: Solve for x
    x = 31,798,022,400/81,864
  6. Step 6: Final answer
    x = 388,424.98

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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.