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Finding the Third Proportional to 20,422 and 30,611

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Solution

The third proportional to 20,422 and 30,611 is: 45,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422 : 30,611 = 30,611 : x
  2. Step 2: Convert to fraction form
    20,422/30,611 = 30,611/x
  3. Step 3: Cross multiply
    20,422x = 30,611 × 30,611
  4. Step 4: Simplify right side
    20,422x = 937,033,321
  5. Step 5: Solve for x
    x = 937,033,321/20,422
  6. Step 6: Final answer
    x = 45,883.52

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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.