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Finding the Third Proportional to 133,085 and 211,649

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Solution

The third proportional to 133,085 and 211,649 is: 336,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 211,649 = 211,649 : x
  2. Step 2: Convert to fraction form
    133,085/211,649 = 211,649/x
  3. Step 3: Cross multiply
    133,085x = 211,649 × 211,649
  4. Step 4: Simplify right side
    133,085x = 44,795,299,201
  5. Step 5: Solve for x
    x = 44,795,299,201/133,085
  6. Step 6: Final answer
    x = 336,591.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.