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Finding the Third Proportional to 135,649 and 283,690

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Solution

The third proportional to 135,649 and 283,690 is: 593,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649 : 283,690 = 283,690 : x
  2. Step 2: Convert to fraction form
    135,649/283,690 = 283,690/x
  3. Step 3: Cross multiply
    135,649x = 283,690 × 283,690
  4. Step 4: Simplify right side
    135,649x = 80,480,016,100
  5. Step 5: Solve for x
    x = 80,480,016,100/135,649
  6. Step 6: Final answer
    x = 593,296.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.