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Finding the Third Proportional to 20,161 and 30,261.50

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Solution

The third proportional to 20,161 and 30,261.50 is: 45,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161 : 30,261.50 = 30,261.50 : x
  2. Step 2: Convert to fraction form
    20,161/30,261.50 = 30,261.50/x
  3. Step 3: Cross multiply
    20,161x = 30,261.50 × 30,261.50
  4. Step 4: Simplify right side
    20,161x = 915,758,382.25
  5. Step 5: Solve for x
    x = 915,758,382.25/20,161
  6. Step 6: Final answer
    x = 45,422.27

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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.