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Finding the Third Proportional to 99,759 and 218,903

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Solution

The third proportional to 99,759 and 218,903 is: 480,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759 : 218,903 = 218,903 : x
  2. Step 2: Convert to fraction form
    99,759/218,903 = 218,903/x
  3. Step 3: Cross multiply
    99,759x = 218,903 × 218,903
  4. Step 4: Simplify right side
    99,759x = 47,918,523,409
  5. Step 5: Solve for x
    x = 47,918,523,409/99,759
  6. Step 6: Final answer
    x = 480,342.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.