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Finding the Third Proportional to 278,002.13 and 422,997.19

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Solution

The third proportional to 278,002.13 and 422,997.19 is: 643,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.13 : 422,997.19 = 422,997.19 : x
  2. Step 2: Convert to fraction form
    278,002.13/422,997.19 = 422,997.19/x
  3. Step 3: Cross multiply
    278,002.13x = 422,997.19 × 422,997.19
  4. Step 4: Simplify right side
    278,002.13x = 178,926,620,632.91
  5. Step 5: Solve for x
    x = 178,926,620,632.91/278,002.13
  6. Step 6: Final answer
    x = 643,616.02

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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.