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Finding the Third Proportional to 81,834 and 176,580

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Solution

The third proportional to 81,834 and 176,580 is: 381,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,834 : 176,580 = 176,580 : x
  2. Step 2: Convert to fraction form
    81,834/176,580 = 176,580/x
  3. Step 3: Cross multiply
    81,834x = 176,580 × 176,580
  4. Step 4: Simplify right side
    81,834x = 31,180,496,400
  5. Step 5: Solve for x
    x = 31,180,496,400/81,834
  6. Step 6: Final answer
    x = 381,021.29

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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.