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Finding the Third Proportional to 278,912 and 574,336

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Solution

The third proportional to 278,912 and 574,336 is: 1,182,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,912 : 574,336 = 574,336 : x
  2. Step 2: Convert to fraction form
    278,912/574,336 = 574,336/x
  3. Step 3: Cross multiply
    278,912x = 574,336 × 574,336
  4. Step 4: Simplify right side
    278,912x = 329,861,840,896
  5. Step 5: Solve for x
    x = 329,861,840,896/278,912
  6. Step 6: Final answer
    x = 1,182,673.53

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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.