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Finding the Third Proportional to 36,420 and 79,974

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Solution

The third proportional to 36,420 and 79,974 is: 175,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420 : 79,974 = 79,974 : x
  2. Step 2: Convert to fraction form
    36,420/79,974 = 79,974/x
  3. Step 3: Cross multiply
    36,420x = 79,974 × 79,974
  4. Step 4: Simplify right side
    36,420x = 6,395,840,676
  5. Step 5: Solve for x
    x = 6,395,840,676/36,420
  6. Step 6: Final answer
    x = 175,613.42

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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.