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Finding the Third Proportional to 278,768 and 606,208

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Solution

The third proportional to 278,768 and 606,208 is: 1,318,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,768 : 606,208 = 606,208 : x
  2. Step 2: Convert to fraction form
    278,768/606,208 = 606,208/x
  3. Step 3: Cross multiply
    278,768x = 606,208 × 606,208
  4. Step 4: Simplify right side
    278,768x = 367,488,139,264
  5. Step 5: Solve for x
    x = 367,488,139,264/278,768
  6. Step 6: Final answer
    x = 1,318,257.98

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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.