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Finding the Third Proportional to 20,132 and 30,150

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Solution

The third proportional to 20,132 and 30,150 is: 45,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 30,150 = 30,150 : x
  2. Step 2: Convert to fraction form
    20,132/30,150 = 30,150/x
  3. Step 3: Cross multiply
    20,132x = 30,150 × 30,150
  4. Step 4: Simplify right side
    20,132x = 909,022,500
  5. Step 5: Solve for x
    x = 909,022,500/20,132
  6. Step 6: Final answer
    x = 45,153.11

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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.