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Finding the Third Proportional to 121,016 and 169,266

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Solution

The third proportional to 121,016 and 169,266 is: 236,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,016 : 169,266 = 169,266 : x
  2. Step 2: Convert to fraction form
    121,016/169,266 = 169,266/x
  3. Step 3: Cross multiply
    121,016x = 169,266 × 169,266
  4. Step 4: Simplify right side
    121,016x = 28,650,978,756
  5. Step 5: Solve for x
    x = 28,650,978,756/121,016
  6. Step 6: Final answer
    x = 236,753.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.