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Finding the Third Proportional to 83,392 and 177,716

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Solution

The third proportional to 83,392 and 177,716 is: 378,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,392 : 177,716 = 177,716 : x
  2. Step 2: Convert to fraction form
    83,392/177,716 = 177,716/x
  3. Step 3: Cross multiply
    83,392x = 177,716 × 177,716
  4. Step 4: Simplify right side
    83,392x = 31,582,976,656
  5. Step 5: Solve for x
    x = 31,582,976,656/83,392
  6. Step 6: Final answer
    x = 378,729.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.