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Finding the Third Proportional to 8,615 and 13,159

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Solution

The third proportional to 8,615 and 13,159 is: 20,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615 : 13,159 = 13,159 : x
  2. Step 2: Convert to fraction form
    8,615/13,159 = 13,159/x
  3. Step 3: Cross multiply
    8,615x = 13,159 × 13,159
  4. Step 4: Simplify right side
    8,615x = 173,159,281
  5. Step 5: Solve for x
    x = 173,159,281/8,615
  6. Step 6: Final answer
    x = 20,099.74

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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.