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Finding the Third Proportional to 8,349.33 and 11,128.64

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Solution

The third proportional to 8,349.33 and 11,128.64 is: 14,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.33 : 11,128.64 = 11,128.64 : x
  2. Step 2: Convert to fraction form
    8,349.33/11,128.64 = 11,128.64/x
  3. Step 3: Cross multiply
    8,349.33x = 11,128.64 × 11,128.64
  4. Step 4: Simplify right side
    8,349.33x = 123,846,642.16
  5. Step 5: Solve for x
    x = 123,846,642.16/8,349.33
  6. Step 6: Final answer
    x = 14,833.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.