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Finding the Third Proportional to 154,956 and 239,442

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Solution

The third proportional to 154,956 and 239,442 is: 369,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,956 : 239,442 = 239,442 : x
  2. Step 2: Convert to fraction form
    154,956/239,442 = 239,442/x
  3. Step 3: Cross multiply
    154,956x = 239,442 × 239,442
  4. Step 4: Simplify right side
    154,956x = 57,332,471,364
  5. Step 5: Solve for x
    x = 57,332,471,364/154,956
  6. Step 6: Final answer
    x = 369,991.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.