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Finding the Third Proportional to 100,409 and 133,864

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Solution

The third proportional to 100,409 and 133,864 is: 178,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409 : 133,864 = 133,864 : x
  2. Step 2: Convert to fraction form
    100,409/133,864 = 133,864/x
  3. Step 3: Cross multiply
    100,409x = 133,864 × 133,864
  4. Step 4: Simplify right side
    100,409x = 17,919,570,496
  5. Step 5: Solve for x
    x = 17,919,570,496/100,409
  6. Step 6: Final answer
    x = 178,465.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.