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Finding the Third Proportional to 11,487 and 18,286.50

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Solution

The third proportional to 11,487 and 18,286.50 is: 29,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487 : 18,286.50 = 18,286.50 : x
  2. Step 2: Convert to fraction form
    11,487/18,286.50 = 18,286.50/x
  3. Step 3: Cross multiply
    11,487x = 18,286.50 × 18,286.50
  4. Step 4: Simplify right side
    11,487x = 334,396,082.25
  5. Step 5: Solve for x
    x = 334,396,082.25/11,487
  6. Step 6: Final answer
    x = 29,110.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.