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Finding the Third Proportional to 8,145.56 and 11,831.06

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Solution

The third proportional to 8,145.56 and 11,831.06 is: 17,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.56 : 11,831.06 = 11,831.06 : x
  2. Step 2: Convert to fraction form
    8,145.56/11,831.06 = 11,831.06/x
  3. Step 3: Cross multiply
    8,145.56x = 11,831.06 × 11,831.06
  4. Step 4: Simplify right side
    8,145.56x = 139,974,039.88
  5. Step 5: Solve for x
    x = 139,974,039.88/8,145.56
  6. Step 6: Final answer
    x = 17,184.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.