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Finding the Third Proportional to 9,078 and 18,615

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Solution

The third proportional to 9,078 and 18,615 is: 38,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078 : 18,615 = 18,615 : x
  2. Step 2: Convert to fraction form
    9,078/18,615 = 18,615/x
  3. Step 3: Cross multiply
    9,078x = 18,615 × 18,615
  4. Step 4: Simplify right side
    9,078x = 346,518,225
  5. Step 5: Solve for x
    x = 346,518,225/9,078
  6. Step 6: Final answer
    x = 38,171.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.