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Finding the Third Proportional to 20,450 and 30,675

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Solution

The third proportional to 20,450 and 30,675 is: 46,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450 : 30,675 = 30,675 : x
  2. Step 2: Convert to fraction form
    20,450/30,675 = 30,675/x
  3. Step 3: Cross multiply
    20,450x = 30,675 × 30,675
  4. Step 4: Simplify right side
    20,450x = 940,955,625
  5. Step 5: Solve for x
    x = 940,955,625/20,450
  6. Step 6: Final answer
    x = 46,012.50

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1.5x scale

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.