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Finding the Third Proportional to 18,002.25 and 39,578.63

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Solution

The third proportional to 18,002.25 and 39,578.63 is: 87,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.25 : 39,578.63 = 39,578.63 : x
  2. Step 2: Convert to fraction form
    18,002.25/39,578.63 = 39,578.63/x
  3. Step 3: Cross multiply
    18,002.25x = 39,578.63 × 39,578.63
  4. Step 4: Simplify right side
    18,002.25x = 1,566,467,556.89
  5. Step 5: Solve for x
    x = 1,566,467,556.89/18,002.25
  6. Step 6: Final answer
    x = 87,015.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.