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Finding the Third Proportional to 283,214 and 434,649

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Solution

The third proportional to 283,214 and 434,649 is: 667,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,214 : 434,649 = 434,649 : x
  2. Step 2: Convert to fraction form
    283,214/434,649 = 434,649/x
  3. Step 3: Cross multiply
    283,214x = 434,649 × 434,649
  4. Step 4: Simplify right side
    283,214x = 188,919,753,201
  5. Step 5: Solve for x
    x = 188,919,753,201/283,214
  6. Step 6: Final answer
    x = 667,056.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.