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Finding the Third Proportional to 8,631 and 13,519.50

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Solution

The third proportional to 8,631 and 13,519.50 is: 21,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631 : 13,519.50 = 13,519.50 : x
  2. Step 2: Convert to fraction form
    8,631/13,519.50 = 13,519.50/x
  3. Step 3: Cross multiply
    8,631x = 13,519.50 × 13,519.50
  4. Step 4: Simplify right side
    8,631x = 182,776,880.25
  5. Step 5: Solve for x
    x = 182,776,880.25/8,631
  6. Step 6: Final answer
    x = 21,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.