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Finding the Third Proportional to 99,155 and 217,993

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Solution

The third proportional to 99,155 and 217,993 is: 479,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,155 : 217,993 = 217,993 : x
  2. Step 2: Convert to fraction form
    99,155/217,993 = 217,993/x
  3. Step 3: Cross multiply
    99,155x = 217,993 × 217,993
  4. Step 4: Simplify right side
    99,155x = 47,520,948,049
  5. Step 5: Solve for x
    x = 47,520,948,049/99,155
  6. Step 6: Final answer
    x = 479,259.22

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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.