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Finding the Third Proportional to 99,154 and 217,991

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Solution

The third proportional to 99,154 and 217,991 is: 479,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154 : 217,991 = 217,991 : x
  2. Step 2: Convert to fraction form
    99,154/217,991 = 217,991/x
  3. Step 3: Cross multiply
    99,154x = 217,991 × 217,991
  4. Step 4: Simplify right side
    99,154x = 47,520,076,081
  5. Step 5: Solve for x
    x = 47,520,076,081/99,154
  6. Step 6: Final answer
    x = 479,255.26

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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.