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Finding the Third Proportional to 100,269 and 218,177.75

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Solution

The third proportional to 100,269 and 218,177.75 is: 474,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,269 : 218,177.75 = 218,177.75 : x
  2. Step 2: Convert to fraction form
    100,269/218,177.75 = 218,177.75/x
  3. Step 3: Cross multiply
    100,269x = 218,177.75 × 218,177.75
  4. Step 4: Simplify right side
    100,269x = 47,601,530,595.06
  5. Step 5: Solve for x
    x = 47,601,530,595.06/100,269
  6. Step 6: Final answer
    x = 474,738.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.