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Finding the Third Proportional to 154,331 and 204,831

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Solution

The third proportional to 154,331 and 204,831 is: 271,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,331 : 204,831 = 204,831 : x
  2. Step 2: Convert to fraction form
    154,331/204,831 = 204,831/x
  3. Step 3: Cross multiply
    154,331x = 204,831 × 204,831
  4. Step 4: Simplify right side
    154,331x = 41,955,738,561
  5. Step 5: Solve for x
    x = 41,955,738,561/154,331
  6. Step 6: Final answer
    x = 271,855.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.