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Finding the Third Proportional to 80,908 and 177,368

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Solution

The third proportional to 80,908 and 177,368 is: 388,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,908 : 177,368 = 177,368 : x
  2. Step 2: Convert to fraction form
    80,908/177,368 = 177,368/x
  3. Step 3: Cross multiply
    80,908x = 177,368 × 177,368
  4. Step 4: Simplify right side
    80,908x = 31,459,407,424
  5. Step 5: Solve for x
    x = 31,459,407,424/80,908
  6. Step 6: Final answer
    x = 388,829.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.