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Finding the Third Proportional to 20,115 and 47,817

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Solution

The third proportional to 20,115 and 47,817 is: 113,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 47,817 = 47,817 : x
  2. Step 2: Convert to fraction form
    20,115/47,817 = 47,817/x
  3. Step 3: Cross multiply
    20,115x = 47,817 × 47,817
  4. Step 4: Simplify right side
    20,115x = 2,286,465,489
  5. Step 5: Solve for x
    x = 2,286,465,489/20,115
  6. Step 6: Final answer
    x = 113,669.67

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.