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Finding the Third Proportional to 101,406 and 220,251

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Solution

The third proportional to 101,406 and 220,251 is: 478,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406 : 220,251 = 220,251 : x
  2. Step 2: Convert to fraction form
    101,406/220,251 = 220,251/x
  3. Step 3: Cross multiply
    101,406x = 220,251 × 220,251
  4. Step 4: Simplify right side
    101,406x = 48,510,503,001
  5. Step 5: Solve for x
    x = 48,510,503,001/101,406
  6. Step 6: Final answer
    x = 478,379.02

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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.