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Finding the Third Proportional to 201,781 and 282,790

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Solution

The third proportional to 201,781 and 282,790 is: 396,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,781 : 282,790 = 282,790 : x
  2. Step 2: Convert to fraction form
    201,781/282,790 = 282,790/x
  3. Step 3: Cross multiply
    201,781x = 282,790 × 282,790
  4. Step 4: Simplify right side
    201,781x = 79,970,184,100
  5. Step 5: Solve for x
    x = 79,970,184,100/201,781
  6. Step 6: Final answer
    x = 396,321.68

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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.