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Finding the Third Proportional to 8,868 and 11,831.25

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Solution

The third proportional to 8,868 and 11,831.25 is: 15,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,868 : 11,831.25 = 11,831.25 : x
  2. Step 2: Convert to fraction form
    8,868/11,831.25 = 11,831.25/x
  3. Step 3: Cross multiply
    8,868x = 11,831.25 × 11,831.25
  4. Step 4: Simplify right side
    8,868x = 139,978,476.56
  5. Step 5: Solve for x
    x = 139,978,476.56/8,868
  6. Step 6: Final answer
    x = 15,784.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.