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Finding the Third Proportional to 104,418 and 168,129

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Solution

The third proportional to 104,418 and 168,129 is: 270,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,418 : 168,129 = 168,129 : x
  2. Step 2: Convert to fraction form
    104,418/168,129 = 168,129/x
  3. Step 3: Cross multiply
    104,418x = 168,129 × 168,129
  4. Step 4: Simplify right side
    104,418x = 28,267,360,641
  5. Step 5: Solve for x
    x = 28,267,360,641/104,418
  6. Step 6: Final answer
    x = 270,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.