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Finding the Third Proportional to 278,279 and 566,277

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Solution

The third proportional to 278,279 and 566,277 is: 1,152,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,279 : 566,277 = 566,277 : x
  2. Step 2: Convert to fraction form
    278,279/566,277 = 566,277/x
  3. Step 3: Cross multiply
    278,279x = 566,277 × 566,277
  4. Step 4: Simplify right side
    278,279x = 320,669,640,729
  5. Step 5: Solve for x
    x = 320,669,640,729/278,279
  6. Step 6: Final answer
    x = 1,152,331.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.