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Finding the Third Proportional to 100,446 and 218,751

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Solution

The third proportional to 100,446 and 218,751 is: 476,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446 : 218,751 = 218,751 : x
  2. Step 2: Convert to fraction form
    100,446/218,751 = 218,751/x
  3. Step 3: Cross multiply
    100,446x = 218,751 × 218,751
  4. Step 4: Simplify right side
    100,446x = 47,852,000,001
  5. Step 5: Solve for x
    x = 47,852,000,001/100,446
  6. Step 6: Final answer
    x = 476,395.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.