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Finding the Third Proportional to 8,712.56 and 18,981.84

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Solution

The third proportional to 8,712.56 and 18,981.84 is: 41,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.56 : 18,981.84 = 18,981.84 : x
  2. Step 2: Convert to fraction form
    8,712.56/18,981.84 = 18,981.84/x
  3. Step 3: Cross multiply
    8,712.56x = 18,981.84 × 18,981.84
  4. Step 4: Simplify right side
    8,712.56x = 360,310,392.15
  5. Step 5: Solve for x
    x = 360,310,392.15/8,712.56
  6. Step 6: Final answer
    x = 41,355.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.