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Finding the Third Proportional to 225,749 and 331,880

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Solution

The third proportional to 225,749 and 331,880 is: 487,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,749 : 331,880 = 331,880 : x
  2. Step 2: Convert to fraction form
    225,749/331,880 = 331,880/x
  3. Step 3: Cross multiply
    225,749x = 331,880 × 331,880
  4. Step 4: Simplify right side
    225,749x = 110,144,334,400
  5. Step 5: Solve for x
    x = 110,144,334,400/225,749
  6. Step 6: Final answer
    x = 487,906.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.