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Finding the Third Proportional to 18,564.19 and 36,505.69

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Solution

The third proportional to 18,564.19 and 36,505.69 is: 71,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.19 : 36,505.69 = 36,505.69 : x
  2. Step 2: Convert to fraction form
    18,564.19/36,505.69 = 36,505.69/x
  3. Step 3: Cross multiply
    18,564.19x = 36,505.69 × 36,505.69
  4. Step 4: Simplify right side
    18,564.19x = 1,332,665,219.85
  5. Step 5: Solve for x
    x = 1,332,665,219.85/18,564.19
  6. Step 6: Final answer
    x = 71,786.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.