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Finding the Third Proportional to 8,989.31 and 13,716.84

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Solution

The third proportional to 8,989.31 and 13,716.84 is: 20,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.31 : 13,716.84 = 13,716.84 : x
  2. Step 2: Convert to fraction form
    8,989.31/13,716.84 = 13,716.84/x
  3. Step 3: Cross multiply
    8,989.31x = 13,716.84 × 13,716.84
  4. Step 4: Simplify right side
    8,989.31x = 188,151,802.46
  5. Step 5: Solve for x
    x = 188,151,802.46/8,989.31
  6. Step 6: Final answer
    x = 20,930.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.