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Finding the Third Proportional to 80,836 and 176,356

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Solution

The third proportional to 80,836 and 176,356 is: 384,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,836 : 176,356 = 176,356 : x
  2. Step 2: Convert to fraction form
    80,836/176,356 = 176,356/x
  3. Step 3: Cross multiply
    80,836x = 176,356 × 176,356
  4. Step 4: Simplify right side
    80,836x = 31,101,438,736
  5. Step 5: Solve for x
    x = 31,101,438,736/80,836
  6. Step 6: Final answer
    x = 384,747.37

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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.