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Finding the Third Proportional to 81,846 and 178,281

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Solution

The third proportional to 81,846 and 178,281 is: 388,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,846 : 178,281 = 178,281 : x
  2. Step 2: Convert to fraction form
    81,846/178,281 = 178,281/x
  3. Step 3: Cross multiply
    81,846x = 178,281 × 178,281
  4. Step 4: Simplify right side
    81,846x = 31,784,114,961
  5. Step 5: Solve for x
    x = 31,784,114,961/81,846
  6. Step 6: Final answer
    x = 388,340.48

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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.