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Finding the Third Proportional to 111,966 and 169,029

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Solution

The third proportional to 111,966 and 169,029 is: 255,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966 : 169,029 = 169,029 : x
  2. Step 2: Convert to fraction form
    111,966/169,029 = 169,029/x
  3. Step 3: Cross multiply
    111,966x = 169,029 × 169,029
  4. Step 4: Simplify right side
    111,966x = 28,570,802,841
  5. Step 5: Solve for x
    x = 28,570,802,841/111,966
  6. Step 6: Final answer
    x = 255,173.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.