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Finding the Third Proportional to 79,409 and 174,561

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Solution

The third proportional to 79,409 and 174,561 is: 383,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,409 : 174,561 = 174,561 : x
  2. Step 2: Convert to fraction form
    79,409/174,561 = 174,561/x
  3. Step 3: Cross multiply
    79,409x = 174,561 × 174,561
  4. Step 4: Simplify right side
    79,409x = 30,471,542,721
  5. Step 5: Solve for x
    x = 30,471,542,721/79,409
  6. Step 6: Final answer
    x = 383,729.08

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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.