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Finding the Third Proportional to 84,885 and 129,173

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Solution

The third proportional to 84,885 and 129,173 is: 196,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885 : 129,173 = 129,173 : x
  2. Step 2: Convert to fraction form
    84,885/129,173 = 129,173/x
  3. Step 3: Cross multiply
    84,885x = 129,173 × 129,173
  4. Step 4: Simplify right side
    84,885x = 16,685,663,929
  5. Step 5: Solve for x
    x = 16,685,663,929/84,885
  6. Step 6: Final answer
    x = 196,567.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.