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Finding the Third Proportional to 201,745 and 282,742

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Solution

The third proportional to 201,745 and 282,742 is: 396,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,745 : 282,742 = 282,742 : x
  2. Step 2: Convert to fraction form
    201,745/282,742 = 282,742/x
  3. Step 3: Cross multiply
    201,745x = 282,742 × 282,742
  4. Step 4: Simplify right side
    201,745x = 79,943,038,564
  5. Step 5: Solve for x
    x = 79,943,038,564/201,745
  6. Step 6: Final answer
    x = 396,257.84

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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.