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Finding the Third Proportional to 99,295.88 and 218,634.19

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Solution

The third proportional to 99,295.88 and 218,634.19 is: 481,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,295.88 : 218,634.19 = 218,634.19 : x
  2. Step 2: Convert to fraction form
    99,295.88/218,634.19 = 218,634.19/x
  3. Step 3: Cross multiply
    99,295.88x = 218,634.19 × 218,634.19
  4. Step 4: Simplify right side
    99,295.88x = 47,800,907,943.79
  5. Step 5: Solve for x
    x = 47,800,907,943.79/99,295.88
  6. Step 6: Final answer
    x = 481,398.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.