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Finding the Third Proportional to 201,787 and 282,799

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Solution

The third proportional to 201,787 and 282,799 is: 396,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,787 : 282,799 = 282,799 : x
  2. Step 2: Convert to fraction form
    201,787/282,799 = 282,799/x
  3. Step 3: Cross multiply
    201,787x = 282,799 × 282,799
  4. Step 4: Simplify right side
    201,787x = 79,975,274,401
  5. Step 5: Solve for x
    x = 79,975,274,401/201,787
  6. Step 6: Final answer
    x = 396,335.12

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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.