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Finding the Third Proportional to 81,195 and 175,314

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Solution

The third proportional to 81,195 and 175,314 is: 378,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,195 : 175,314 = 175,314 : x
  2. Step 2: Convert to fraction form
    81,195/175,314 = 175,314/x
  3. Step 3: Cross multiply
    81,195x = 175,314 × 175,314
  4. Step 4: Simplify right side
    81,195x = 30,734,998,596
  5. Step 5: Solve for x
    x = 30,734,998,596/81,195
  6. Step 6: Final answer
    x = 378,533.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.