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Finding the Third Proportional to 20,170 and 30,832

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Solution

The third proportional to 20,170 and 30,832 is: 47,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 30,832 = 30,832 : x
  2. Step 2: Convert to fraction form
    20,170/30,832 = 30,832/x
  3. Step 3: Cross multiply
    20,170x = 30,832 × 30,832
  4. Step 4: Simplify right side
    20,170x = 950,612,224
  5. Step 5: Solve for x
    x = 950,612,224/20,170
  6. Step 6: Final answer
    x = 47,130.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.