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Finding the Third Proportional to 20,409 and 47,040

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Solution

The third proportional to 20,409 and 47,040 is: 108,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 47,040 = 47,040 : x
  2. Step 2: Convert to fraction form
    20,409/47,040 = 47,040/x
  3. Step 3: Cross multiply
    20,409x = 47,040 × 47,040
  4. Step 4: Simplify right side
    20,409x = 2,212,761,600
  5. Step 5: Solve for x
    x = 2,212,761,600/20,409
  6. Step 6: Final answer
    x = 108,420.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.