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Finding the Third Proportional to 99,538.88 and 217,763.44

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Solution

The third proportional to 99,538.88 and 217,763.44 is: 476,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538.88 : 217,763.44 = 217,763.44 : x
  2. Step 2: Convert to fraction form
    99,538.88/217,763.44 = 217,763.44/x
  3. Step 3: Cross multiply
    99,538.88x = 217,763.44 × 217,763.44
  4. Step 4: Simplify right side
    99,538.88x = 47,420,914,711.82
  5. Step 5: Solve for x
    x = 47,420,914,711.82/99,538.88
  6. Step 6: Final answer
    x = 476,405.97

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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.