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Finding the Third Proportional to 9,042.75 and 11,718.56

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Solution

The third proportional to 9,042.75 and 11,718.56 is: 15,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.75 : 11,718.56 = 11,718.56 : x
  2. Step 2: Convert to fraction form
    9,042.75/11,718.56 = 11,718.56/x
  3. Step 3: Cross multiply
    9,042.75x = 11,718.56 × 11,718.56
  4. Step 4: Simplify right side
    9,042.75x = 137,324,707.07
  5. Step 5: Solve for x
    x = 137,324,707.07/9,042.75
  6. Step 6: Final answer
    x = 15,186.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.