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Finding the Third Proportional to 278,391 and 606,966

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Solution

The third proportional to 278,391 and 606,966 is: 1,323,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,391 : 606,966 = 606,966 : x
  2. Step 2: Convert to fraction form
    278,391/606,966 = 606,966/x
  3. Step 3: Cross multiply
    278,391x = 606,966 × 606,966
  4. Step 4: Simplify right side
    278,391x = 368,407,725,156
  5. Step 5: Solve for x
    x = 368,407,725,156/278,391
  6. Step 6: Final answer
    x = 1,323,346.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.