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Finding the Third Proportional to 8,375 and 18,206.50

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Solution

The third proportional to 8,375 and 18,206.50 is: 39,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375 : 18,206.50 = 18,206.50 : x
  2. Step 2: Convert to fraction form
    8,375/18,206.50 = 18,206.50/x
  3. Step 3: Cross multiply
    8,375x = 18,206.50 × 18,206.50
  4. Step 4: Simplify right side
    8,375x = 331,476,642.25
  5. Step 5: Solve for x
    x = 331,476,642.25/8,375
  6. Step 6: Final answer
    x = 39,579.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.