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Finding the Third Proportional to 154,078 and 331,151

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Solution

The third proportional to 154,078 and 331,151 is: 711,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,078 : 331,151 = 331,151 : x
  2. Step 2: Convert to fraction form
    154,078/331,151 = 331,151/x
  3. Step 3: Cross multiply
    154,078x = 331,151 × 331,151
  4. Step 4: Simplify right side
    154,078x = 109,660,984,801
  5. Step 5: Solve for x
    x = 109,660,984,801/154,078
  6. Step 6: Final answer
    x = 711,723.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.