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Finding the Third Proportional to 278,772 and 606,216

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Solution

The third proportional to 278,772 and 606,216 is: 1,318,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,772 : 606,216 = 606,216 : x
  2. Step 2: Convert to fraction form
    278,772/606,216 = 606,216/x
  3. Step 3: Cross multiply
    278,772x = 606,216 × 606,216
  4. Step 4: Simplify right side
    278,772x = 367,497,838,656
  5. Step 5: Solve for x
    x = 367,497,838,656/278,772
  6. Step 6: Final answer
    x = 1,318,273.85

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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.