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Finding the Third Proportional to 9,111 and 11,963.25

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Solution

The third proportional to 9,111 and 11,963.25 is: 15,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111 : 11,963.25 = 11,963.25 : x
  2. Step 2: Convert to fraction form
    9,111/11,963.25 = 11,963.25/x
  3. Step 3: Cross multiply
    9,111x = 11,963.25 × 11,963.25
  4. Step 4: Simplify right side
    9,111x = 143,119,350.56
  5. Step 5: Solve for x
    x = 143,119,350.56/9,111
  6. Step 6: Final answer
    x = 15,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.