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Finding the Third Proportional to 220,716 and 331,749

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Solution

The third proportional to 220,716 and 331,749 is: 498,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,716 : 331,749 = 331,749 : x
  2. Step 2: Convert to fraction form
    220,716/331,749 = 331,749/x
  3. Step 3: Cross multiply
    220,716x = 331,749 × 331,749
  4. Step 4: Simplify right side
    220,716x = 110,057,399,001
  5. Step 5: Solve for x
    x = 110,057,399,001/220,716
  6. Step 6: Final answer
    x = 498,638.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.