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Finding the Third Proportional to 81,615 and 175,674

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Solution

The third proportional to 81,615 and 175,674 is: 378,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,615 : 175,674 = 175,674 : x
  2. Step 2: Convert to fraction form
    81,615/175,674 = 175,674/x
  3. Step 3: Cross multiply
    81,615x = 175,674 × 175,674
  4. Step 4: Simplify right side
    81,615x = 30,861,354,276
  5. Step 5: Solve for x
    x = 30,861,354,276/81,615
  6. Step 6: Final answer
    x = 378,133.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.