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Finding the Third Proportional to 283,408 and 396,221

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Solution

The third proportional to 283,408 and 396,221 is: 553,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,408 : 396,221 = 396,221 : x
  2. Step 2: Convert to fraction form
    283,408/396,221 = 396,221/x
  3. Step 3: Cross multiply
    283,408x = 396,221 × 396,221
  4. Step 4: Simplify right side
    283,408x = 156,991,080,841
  5. Step 5: Solve for x
    x = 156,991,080,841/283,408
  6. Step 6: Final answer
    x = 553,940.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.