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Finding the Third Proportional to 6,454.69 and 11,841.19

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Solution

The third proportional to 6,454.69 and 11,841.19 is: 21,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.69 : 11,841.19 = 11,841.19 : x
  2. Step 2: Convert to fraction form
    6,454.69/11,841.19 = 11,841.19/x
  3. Step 3: Cross multiply
    6,454.69x = 11,841.19 × 11,841.19
  4. Step 4: Simplify right side
    6,454.69x = 140,213,721.41
  5. Step 5: Solve for x
    x = 140,213,721.41/6,454.69
  6. Step 6: Final answer
    x = 21,722.77

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.