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Finding the Third Proportional to 12,997.69 and 20,661.19

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Solution

The third proportional to 12,997.69 and 20,661.19 is: 32,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.69 : 20,661.19 = 20,661.19 : x
  2. Step 2: Convert to fraction form
    12,997.69/20,661.19 = 20,661.19/x
  3. Step 3: Cross multiply
    12,997.69x = 20,661.19 × 20,661.19
  4. Step 4: Simplify right side
    12,997.69x = 426,884,668.91
  5. Step 5: Solve for x
    x = 426,884,668.91/12,997.69
  6. Step 6: Final answer
    x = 32,843.12

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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.