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Finding the Third Proportional to 140,096 and 209,649

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Solution

The third proportional to 140,096 and 209,649 is: 313,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096 : 209,649 = 209,649 : x
  2. Step 2: Convert to fraction form
    140,096/209,649 = 209,649/x
  3. Step 3: Cross multiply
    140,096x = 209,649 × 209,649
  4. Step 4: Simplify right side
    140,096x = 43,952,703,201
  5. Step 5: Solve for x
    x = 43,952,703,201/140,096
  6. Step 6: Final answer
    x = 313,732.75

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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.