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Finding the Third Proportional to 9,755.44 and 11,188.13

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Solution

The third proportional to 9,755.44 and 11,188.13 is: 12,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.44 : 11,188.13 = 11,188.13 : x
  2. Step 2: Convert to fraction form
    9,755.44/11,188.13 = 11,188.13/x
  3. Step 3: Cross multiply
    9,755.44x = 11,188.13 × 11,188.13
  4. Step 4: Simplify right side
    9,755.44x = 125,174,141.02
  5. Step 5: Solve for x
    x = 125,174,141.02/9,755.44
  6. Step 6: Final answer
    x = 12,831.22

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.