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Finding the Third Proportional to 103,506 and 222,868

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Solution

The third proportional to 103,506 and 222,868 is: 479,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506 : 222,868 = 222,868 : x
  2. Step 2: Convert to fraction form
    103,506/222,868 = 222,868/x
  3. Step 3: Cross multiply
    103,506x = 222,868 × 222,868
  4. Step 4: Simplify right side
    103,506x = 49,670,145,424
  5. Step 5: Solve for x
    x = 49,670,145,424/103,506
  6. Step 6: Final answer
    x = 479,876.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.