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Finding the Third Proportional to 154,678.50 and 335,439

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Solution

The third proportional to 154,678.50 and 335,439 is: 727,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,678.50 : 335,439 = 335,439 : x
  2. Step 2: Convert to fraction form
    154,678.50/335,439 = 335,439/x
  3. Step 3: Cross multiply
    154,678.50x = 335,439 × 335,439
  4. Step 4: Simplify right side
    154,678.50x = 112,519,322,721
  5. Step 5: Solve for x
    x = 112,519,322,721/154,678.50
  6. Step 6: Final answer
    x = 727,439.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.