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Finding the Third Proportional to 20,515.50 and 29,022.75

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Solution

The third proportional to 20,515.50 and 29,022.75 is: 41,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515.50 : 29,022.75 = 29,022.75 : x
  2. Step 2: Convert to fraction form
    20,515.50/29,022.75 = 29,022.75/x
  3. Step 3: Cross multiply
    20,515.50x = 29,022.75 × 29,022.75
  4. Step 4: Simplify right side
    20,515.50x = 842,320,017.56
  5. Step 5: Solve for x
    x = 842,320,017.56/20,515.50
  6. Step 6: Final answer
    x = 41,057.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.