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Finding the Third Proportional to 4,135.78 and 9,015.19

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Solution

The third proportional to 4,135.78 and 9,015.19 is: 19,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.78 : 9,015.19 = 9,015.19 : x
  2. Step 2: Convert to fraction form
    4,135.78/9,015.19 = 9,015.19/x
  3. Step 3: Cross multiply
    4,135.78x = 9,015.19 × 9,015.19
  4. Step 4: Simplify right side
    4,135.78x = 81,273,605.66
  5. Step 5: Solve for x
    x = 81,273,605.66/4,135.78
  6. Step 6: Final answer
    x = 19,651.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.