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Finding the Third Proportional to 13,282 and 18,615

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Solution

The third proportional to 13,282 and 18,615 is: 26,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 18,615 = 18,615 : x
  2. Step 2: Convert to fraction form
    13,282/18,615 = 18,615/x
  3. Step 3: Cross multiply
    13,282x = 18,615 × 18,615
  4. Step 4: Simplify right side
    13,282x = 346,518,225
  5. Step 5: Solve for x
    x = 346,518,225/13,282
  6. Step 6: Final answer
    x = 26,089.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.