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Finding the Third Proportional to 79,980 and 171,597

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Solution

The third proportional to 79,980 and 171,597 is: 368,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,980 : 171,597 = 171,597 : x
  2. Step 2: Convert to fraction form
    79,980/171,597 = 171,597/x
  3. Step 3: Cross multiply
    79,980x = 171,597 × 171,597
  4. Step 4: Simplify right side
    79,980x = 29,445,530,409
  5. Step 5: Solve for x
    x = 29,445,530,409/79,980
  6. Step 6: Final answer
    x = 368,161.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.