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Finding the Third Proportional to 8,965.69 and 18,910.97

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Solution

The third proportional to 8,965.69 and 18,910.97 is: 39,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.69 : 18,910.97 = 18,910.97 : x
  2. Step 2: Convert to fraction form
    8,965.69/18,910.97 = 18,910.97/x
  3. Step 3: Cross multiply
    8,965.69x = 18,910.97 × 18,910.97
  4. Step 4: Simplify right side
    8,965.69x = 357,624,739.06
  5. Step 5: Solve for x
    x = 357,624,739.06/8,965.69
  6. Step 6: Final answer
    x = 39,888.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.