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Finding the Third Proportional to 6,998.91 and 10,836.28

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Solution

The third proportional to 6,998.91 and 10,836.28 is: 16,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.91 : 10,836.28 = 10,836.28 : x
  2. Step 2: Convert to fraction form
    6,998.91/10,836.28 = 10,836.28/x
  3. Step 3: Cross multiply
    6,998.91x = 10,836.28 × 10,836.28
  4. Step 4: Simplify right side
    6,998.91x = 117,424,991.33
  5. Step 5: Solve for x
    x = 117,424,991.33/6,998.91
  6. Step 6: Final answer
    x = 16,777.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.