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Finding the Third Proportional to 81,323 and 176,220

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Solution

The third proportional to 81,323 and 176,220 is: 381,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,323 : 176,220 = 176,220 : x
  2. Step 2: Convert to fraction form
    81,323/176,220 = 176,220/x
  3. Step 3: Cross multiply
    81,323x = 176,220 × 176,220
  4. Step 4: Simplify right side
    81,323x = 31,053,488,400
  5. Step 5: Solve for x
    x = 31,053,488,400/81,323
  6. Step 6: Final answer
    x = 381,853.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.