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Finding the Third Proportional to 6,860 and 11,388

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Solution

The third proportional to 6,860 and 11,388 is: 18,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860 : 11,388 = 11,388 : x
  2. Step 2: Convert to fraction form
    6,860/11,388 = 11,388/x
  3. Step 3: Cross multiply
    6,860x = 11,388 × 11,388
  4. Step 4: Simplify right side
    6,860x = 129,686,544
  5. Step 5: Solve for x
    x = 129,686,544/6,860
  6. Step 6: Final answer
    x = 18,904.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.