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Finding the Third Proportional to 9,128.38 and 13,791.13

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Solution

The third proportional to 9,128.38 and 13,791.13 is: 20,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.38 : 13,791.13 = 13,791.13 : x
  2. Step 2: Convert to fraction form
    9,128.38/13,791.13 = 13,791.13/x
  3. Step 3: Cross multiply
    9,128.38x = 13,791.13 × 13,791.13
  4. Step 4: Simplify right side
    9,128.38x = 190,195,128.77
  5. Step 5: Solve for x
    x = 190,195,128.77/9,128.38
  6. Step 6: Final answer
    x = 20,835.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.