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Finding the Third Proportional to 6,697.69 and 11,929.78

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Solution

The third proportional to 6,697.69 and 11,929.78 is: 21,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 11,929.78 = 11,929.78 : x
  2. Step 2: Convert to fraction form
    6,697.69/11,929.78 = 11,929.78/x
  3. Step 3: Cross multiply
    6,697.69x = 11,929.78 × 11,929.78
  4. Step 4: Simplify right side
    6,697.69x = 142,319,680.67
  5. Step 5: Solve for x
    x = 142,319,680.67/6,697.69
  6. Step 6: Final answer
    x = 21,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.