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Finding the Third Proportional to 280,256 and 426,864

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Solution

The third proportional to 280,256 and 426,864 is: 650,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,256 : 426,864 = 426,864 : x
  2. Step 2: Convert to fraction form
    280,256/426,864 = 426,864/x
  3. Step 3: Cross multiply
    280,256x = 426,864 × 426,864
  4. Step 4: Simplify right side
    280,256x = 182,212,874,496
  5. Step 5: Solve for x
    x = 182,212,874,496/280,256
  6. Step 6: Final answer
    x = 650,165.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.