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Finding the Third Proportional to 8,641 and 18,171.50

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Solution

The third proportional to 8,641 and 18,171.50 is: 38,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641 : 18,171.50 = 18,171.50 : x
  2. Step 2: Convert to fraction form
    8,641/18,171.50 = 18,171.50/x
  3. Step 3: Cross multiply
    8,641x = 18,171.50 × 18,171.50
  4. Step 4: Simplify right side
    8,641x = 330,203,412.25
  5. Step 5: Solve for x
    x = 330,203,412.25/8,641
  6. Step 6: Final answer
    x = 38,213.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.