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Finding the Third Proportional to 100,005 and 211,251

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Solution

The third proportional to 100,005 and 211,251 is: 446,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,005 : 211,251 = 211,251 : x
  2. Step 2: Convert to fraction form
    100,005/211,251 = 211,251/x
  3. Step 3: Cross multiply
    100,005x = 211,251 × 211,251
  4. Step 4: Simplify right side
    100,005x = 44,626,985,001
  5. Step 5: Solve for x
    x = 44,626,985,001/100,005
  6. Step 6: Final answer
    x = 446,247.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.