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Finding the Third Proportional to 81,828 and 176,548

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Solution

The third proportional to 81,828 and 176,548 is: 380,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,828 : 176,548 = 176,548 : x
  2. Step 2: Convert to fraction form
    81,828/176,548 = 176,548/x
  3. Step 3: Cross multiply
    81,828x = 176,548 × 176,548
  4. Step 4: Simplify right side
    81,828x = 31,169,196,304
  5. Step 5: Solve for x
    x = 31,169,196,304/81,828
  6. Step 6: Final answer
    x = 380,911.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.