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Finding the Third Proportional to 8,681.50 and 18,681

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Solution

The third proportional to 8,681.50 and 18,681 is: 40,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.50 : 18,681 = 18,681 : x
  2. Step 2: Convert to fraction form
    8,681.50/18,681 = 18,681/x
  3. Step 3: Cross multiply
    8,681.50x = 18,681 × 18,681
  4. Step 4: Simplify right side
    8,681.50x = 348,979,761
  5. Step 5: Solve for x
    x = 348,979,761/8,681.50
  6. Step 6: Final answer
    x = 40,198.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.