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Finding the Third Proportional to 103,001 and 222,850

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Solution

The third proportional to 103,001 and 222,850 is: 482,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,001 : 222,850 = 222,850 : x
  2. Step 2: Convert to fraction form
    103,001/222,850 = 222,850/x
  3. Step 3: Cross multiply
    103,001x = 222,850 × 222,850
  4. Step 4: Simplify right side
    103,001x = 49,662,122,500
  5. Step 5: Solve for x
    x = 49,662,122,500/103,001
  6. Step 6: Final answer
    x = 482,151.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.