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Finding the Third Proportional to 99,709.73 and 218,793.02

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Solution

The third proportional to 99,709.73 and 218,793.02 is: 480,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,709.73 : 218,793.02 = 218,793.02 : x
  2. Step 2: Convert to fraction form
    99,709.73/218,793.02 = 218,793.02/x
  3. Step 3: Cross multiply
    99,709.73x = 218,793.02 × 218,793.02
  4. Step 4: Simplify right side
    99,709.73x = 47,870,387,104.92
  5. Step 5: Solve for x
    x = 47,870,387,104.92/99,709.73
  6. Step 6: Final answer
    x = 480,097.43

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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.