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Finding the Third Proportional to 20,127 and 30,191

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Solution

The third proportional to 20,127 and 30,191 is: 45,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127 : 30,191 = 30,191 : x
  2. Step 2: Convert to fraction form
    20,127/30,191 = 30,191/x
  3. Step 3: Cross multiply
    20,127x = 30,191 × 30,191
  4. Step 4: Simplify right side
    20,127x = 911,496,481
  5. Step 5: Solve for x
    x = 911,496,481/20,127
  6. Step 6: Final answer
    x = 45,287.25

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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.