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Finding the Third Proportional to 79,971 and 169,782

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Solution

The third proportional to 79,971 and 169,782 is: 360,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,971 : 169,782 = 169,782 : x
  2. Step 2: Convert to fraction form
    79,971/169,782 = 169,782/x
  3. Step 3: Cross multiply
    79,971x = 169,782 × 169,782
  4. Step 4: Simplify right side
    79,971x = 28,825,927,524
  5. Step 5: Solve for x
    x = 28,825,927,524/79,971
  6. Step 6: Final answer
    x = 360,454.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.