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Finding the Third Proportional to 20,409 and 31,218

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Solution

The third proportional to 20,409 and 31,218 is: 47,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 31,218 = 31,218 : x
  2. Step 2: Convert to fraction form
    20,409/31,218 = 31,218/x
  3. Step 3: Cross multiply
    20,409x = 31,218 × 31,218
  4. Step 4: Simplify right side
    20,409x = 974,563,524
  5. Step 5: Solve for x
    x = 974,563,524/20,409
  6. Step 6: Final answer
    x = 47,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.