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Finding the Third Proportional to 3,858.15 and 8,291.95

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Solution

The third proportional to 3,858.15 and 8,291.95 is: 17,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.15 : 8,291.95 = 8,291.95 : x
  2. Step 2: Convert to fraction form
    3,858.15/8,291.95 = 8,291.95/x
  3. Step 3: Cross multiply
    3,858.15x = 8,291.95 × 8,291.95
  4. Step 4: Simplify right side
    3,858.15x = 68,756,486.63
  5. Step 5: Solve for x
    x = 68,756,486.63/3,858.15
  6. Step 6: Final answer
    x = 17,821.09

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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.