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Finding the Third Proportional to 7,112.25 and 11,172.38

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Solution

The third proportional to 7,112.25 and 11,172.38 is: 17,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.25 : 11,172.38 = 11,172.38 : x
  2. Step 2: Convert to fraction form
    7,112.25/11,172.38 = 11,172.38/x
  3. Step 3: Cross multiply
    7,112.25x = 11,172.38 × 11,172.38
  4. Step 4: Simplify right side
    7,112.25x = 124,821,963.14
  5. Step 5: Solve for x
    x = 124,821,963.14/7,112.25
  6. Step 6: Final answer
    x = 17,550.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.