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Finding the Third Proportional to 8,190.28 and 12,989.11

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Solution

The third proportional to 8,190.28 and 12,989.11 is: 20,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.28 : 12,989.11 = 12,989.11 : x
  2. Step 2: Convert to fraction form
    8,190.28/12,989.11 = 12,989.11/x
  3. Step 3: Cross multiply
    8,190.28x = 12,989.11 × 12,989.11
  4. Step 4: Simplify right side
    8,190.28x = 168,716,962.36
  5. Step 5: Solve for x
    x = 168,716,962.36/8,190.28
  6. Step 6: Final answer
    x = 20,599.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.