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Finding the Third Proportional to 99,591 and 217,830

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Solution

The third proportional to 99,591 and 217,830 is: 476,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,591 : 217,830 = 217,830 : x
  2. Step 2: Convert to fraction form
    99,591/217,830 = 217,830/x
  3. Step 3: Cross multiply
    99,591x = 217,830 × 217,830
  4. Step 4: Simplify right side
    99,591x = 47,449,908,900
  5. Step 5: Solve for x
    x = 47,449,908,900/99,591
  6. Step 6: Final answer
    x = 476,447.76

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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.