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Finding the Third Proportional to 278,266 and 422,718

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Solution

The third proportional to 278,266 and 422,718 is: 642,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,266 : 422,718 = 422,718 : x
  2. Step 2: Convert to fraction form
    278,266/422,718 = 422,718/x
  3. Step 3: Cross multiply
    278,266x = 422,718 × 422,718
  4. Step 4: Simplify right side
    278,266x = 178,690,507,524
  5. Step 5: Solve for x
    x = 178,690,507,524/278,266
  6. Step 6: Final answer
    x = 642,157.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.