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Finding the Third Proportional to 11,260.69 and 18,138.38

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Solution

The third proportional to 11,260.69 and 18,138.38 is: 29,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260.69 : 18,138.38 = 18,138.38 : x
  2. Step 2: Convert to fraction form
    11,260.69/18,138.38 = 18,138.38/x
  3. Step 3: Cross multiply
    11,260.69x = 18,138.38 × 18,138.38
  4. Step 4: Simplify right side
    11,260.69x = 329,000,647.64
  5. Step 5: Solve for x
    x = 329,000,647.64/11,260.69
  6. Step 6: Final answer
    x = 29,216.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.