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Finding the Third Proportional to 159,781 and 254,366

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Solution

The third proportional to 159,781 and 254,366 is: 404,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,781 : 254,366 = 254,366 : x
  2. Step 2: Convert to fraction form
    159,781/254,366 = 254,366/x
  3. Step 3: Cross multiply
    159,781x = 254,366 × 254,366
  4. Step 4: Simplify right side
    159,781x = 64,702,061,956
  5. Step 5: Solve for x
    x = 64,702,061,956/159,781
  6. Step 6: Final answer
    x = 404,942.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.