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Finding the Third Proportional to 278,586 and 393,822

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Solution

The third proportional to 278,586 and 393,822 is: 556,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,586 : 393,822 = 393,822 : x
  2. Step 2: Convert to fraction form
    278,586/393,822 = 393,822/x
  3. Step 3: Cross multiply
    278,586x = 393,822 × 393,822
  4. Step 4: Simplify right side
    278,586x = 155,095,767,684
  5. Step 5: Solve for x
    x = 155,095,767,684/278,586
  6. Step 6: Final answer
    x = 556,724.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.