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Finding the Third Proportional to 283,817 and 426,922

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Solution

The third proportional to 283,817 and 426,922 is: 642,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,817 : 426,922 = 426,922 : x
  2. Step 2: Convert to fraction form
    283,817/426,922 = 426,922/x
  3. Step 3: Cross multiply
    283,817x = 426,922 × 426,922
  4. Step 4: Simplify right side
    283,817x = 182,262,394,084
  5. Step 5: Solve for x
    x = 182,262,394,084/283,817
  6. Step 6: Final answer
    x = 642,182.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.