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Finding the Third Proportional to 78,422 and 169,802

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Solution

The third proportional to 78,422 and 169,802 is: 367,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422 : 169,802 = 169,802 : x
  2. Step 2: Convert to fraction form
    78,422/169,802 = 169,802/x
  3. Step 3: Cross multiply
    78,422x = 169,802 × 169,802
  4. Step 4: Simplify right side
    78,422x = 28,832,719,204
  5. Step 5: Solve for x
    x = 28,832,719,204/78,422
  6. Step 6: Final answer
    x = 367,661.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.