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Finding the Third Proportional to 8,325 and 17,830.83

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Solution

The third proportional to 8,325 and 17,830.83 is: 38,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325 : 17,830.83 = 17,830.83 : x
  2. Step 2: Convert to fraction form
    8,325/17,830.83 = 17,830.83/x
  3. Step 3: Cross multiply
    8,325x = 17,830.83 × 17,830.83
  4. Step 4: Simplify right side
    8,325x = 317,938,431.62
  5. Step 5: Solve for x
    x = 317,938,431.62/8,325
  6. Step 6: Final answer
    x = 38,190.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.