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Finding the Third Proportional to 99,786.75 and 218,010.75

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Solution

The third proportional to 99,786.75 and 218,010.75 is: 476,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.75 : 218,010.75 = 218,010.75 : x
  2. Step 2: Convert to fraction form
    99,786.75/218,010.75 = 218,010.75/x
  3. Step 3: Cross multiply
    99,786.75x = 218,010.75 × 218,010.75
  4. Step 4: Simplify right side
    99,786.75x = 47,528,687,115.56
  5. Step 5: Solve for x
    x = 47,528,687,115.56/99,786.75
  6. Step 6: Final answer
    x = 476,302.59

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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.