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Finding the Third Proportional to 278,912 and 576,256

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Solution

The third proportional to 278,912 and 576,256 is: 1,190,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,912 : 576,256 = 576,256 : x
  2. Step 2: Convert to fraction form
    278,912/576,256 = 576,256/x
  3. Step 3: Cross multiply
    278,912x = 576,256 × 576,256
  4. Step 4: Simplify right side
    278,912x = 332,070,977,536
  5. Step 5: Solve for x
    x = 332,070,977,536/278,912
  6. Step 6: Final answer
    x = 1,190,594.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.