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Finding the Third Proportional to 80,672 and 177,088

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Solution

The third proportional to 80,672 and 177,088 is: 388,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,672 : 177,088 = 177,088 : x
  2. Step 2: Convert to fraction form
    80,672/177,088 = 177,088/x
  3. Step 3: Cross multiply
    80,672x = 177,088 × 177,088
  4. Step 4: Simplify right side
    80,672x = 31,360,159,744
  5. Step 5: Solve for x
    x = 31,360,159,744/80,672
  6. Step 6: Final answer
    x = 388,736.61

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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.