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Finding the Third Proportional to 11,740 and 18,329

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Solution

The third proportional to 11,740 and 18,329 is: 28,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740 : 18,329 = 18,329 : x
  2. Step 2: Convert to fraction form
    11,740/18,329 = 18,329/x
  3. Step 3: Cross multiply
    11,740x = 18,329 × 18,329
  4. Step 4: Simplify right side
    11,740x = 335,952,241
  5. Step 5: Solve for x
    x = 335,952,241/11,740
  6. Step 6: Final answer
    x = 28,616.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.