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Finding the Third Proportional to 278,916 and 574,338

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Solution

The third proportional to 278,916 and 574,338 is: 1,182,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,916 : 574,338 = 574,338 : x
  2. Step 2: Convert to fraction form
    278,916/574,338 = 574,338/x
  3. Step 3: Cross multiply
    278,916x = 574,338 × 574,338
  4. Step 4: Simplify right side
    278,916x = 329,864,138,244
  5. Step 5: Solve for x
    x = 329,864,138,244/278,916
  6. Step 6: Final answer
    x = 1,182,664.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.