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Finding the Third Proportional to 151,749 and 218,601

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Solution

The third proportional to 151,749 and 218,601 is: 314,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,749 : 218,601 = 218,601 : x
  2. Step 2: Convert to fraction form
    151,749/218,601 = 218,601/x
  3. Step 3: Cross multiply
    151,749x = 218,601 × 218,601
  4. Step 4: Simplify right side
    151,749x = 47,786,397,201
  5. Step 5: Solve for x
    x = 47,786,397,201/151,749
  6. Step 6: Final answer
    x = 314,904.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.