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Finding the Third Proportional to 81,384 and 168,908

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Solution

The third proportional to 81,384 and 168,908 is: 350,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384 : 168,908 = 168,908 : x
  2. Step 2: Convert to fraction form
    81,384/168,908 = 168,908/x
  3. Step 3: Cross multiply
    81,384x = 168,908 × 168,908
  4. Step 4: Simplify right side
    81,384x = 28,529,912,464
  5. Step 5: Solve for x
    x = 28,529,912,464/81,384
  6. Step 6: Final answer
    x = 350,559.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.