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Finding the Third Proportional to 36,409 and 79,406

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Solution

The third proportional to 36,409 and 79,406 is: 173,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409 : 79,406 = 79,406 : x
  2. Step 2: Convert to fraction form
    36,409/79,406 = 79,406/x
  3. Step 3: Cross multiply
    36,409x = 79,406 × 79,406
  4. Step 4: Simplify right side
    36,409x = 6,305,312,836
  5. Step 5: Solve for x
    x = 6,305,312,836/36,409
  6. Step 6: Final answer
    x = 173,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.