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Finding the Third Proportional to 215,274 and 331,995

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Solution

The third proportional to 215,274 and 331,995 is: 512,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,274 : 331,995 = 331,995 : x
  2. Step 2: Convert to fraction form
    215,274/331,995 = 331,995/x
  3. Step 3: Cross multiply
    215,274x = 331,995 × 331,995
  4. Step 4: Simplify right side
    215,274x = 110,220,680,025
  5. Step 5: Solve for x
    x = 110,220,680,025/215,274
  6. Step 6: Final answer
    x = 512,001.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.