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Finding the Third Proportional to 80,144 and 176,672

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Solution

The third proportional to 80,144 and 176,672 is: 389,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,144 : 176,672 = 176,672 : x
  2. Step 2: Convert to fraction form
    80,144/176,672 = 176,672/x
  3. Step 3: Cross multiply
    80,144x = 176,672 × 176,672
  4. Step 4: Simplify right side
    80,144x = 31,212,995,584
  5. Step 5: Solve for x
    x = 31,212,995,584/80,144
  6. Step 6: Final answer
    x = 389,461.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.