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Finding the Third Proportional to 100,027 and 217,225

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Solution

The third proportional to 100,027 and 217,225 is: 471,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,027 : 217,225 = 217,225 : x
  2. Step 2: Convert to fraction form
    100,027/217,225 = 217,225/x
  3. Step 3: Cross multiply
    100,027x = 217,225 × 217,225
  4. Step 4: Simplify right side
    100,027x = 47,186,700,625
  5. Step 5: Solve for x
    x = 47,186,700,625/100,027
  6. Step 6: Final answer
    x = 471,739.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.