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Finding the Third Proportional to 20,040 and 48,210

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Solution

The third proportional to 20,040 and 48,210 is: 115,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040 : 48,210 = 48,210 : x
  2. Step 2: Convert to fraction form
    20,040/48,210 = 48,210/x
  3. Step 3: Cross multiply
    20,040x = 48,210 × 48,210
  4. Step 4: Simplify right side
    20,040x = 2,324,204,100
  5. Step 5: Solve for x
    x = 2,324,204,100/20,040
  6. Step 6: Final answer
    x = 115,978.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.