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Finding the Third Proportional to 20,180 and 30,288

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Solution

The third proportional to 20,180 and 30,288 is: 45,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 30,288 = 30,288 : x
  2. Step 2: Convert to fraction form
    20,180/30,288 = 30,288/x
  3. Step 3: Cross multiply
    20,180x = 30,288 × 30,288
  4. Step 4: Simplify right side
    20,180x = 917,362,944
  5. Step 5: Solve for x
    x = 917,362,944/20,180
  6. Step 6: Final answer
    x = 45,459.02

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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.