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Finding the Third Proportional to 36,422 and 79,978

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Solution

The third proportional to 36,422 and 79,978 is: 175,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422 : 79,978 = 79,978 : x
  2. Step 2: Convert to fraction form
    36,422/79,978 = 79,978/x
  3. Step 3: Cross multiply
    36,422x = 79,978 × 79,978
  4. Step 4: Simplify right side
    36,422x = 6,396,480,484
  5. Step 5: Solve for x
    x = 6,396,480,484/36,422
  6. Step 6: Final answer
    x = 175,621.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.