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Finding the Third Proportional to 8,520.50 and 18,438.26

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Solution

The third proportional to 8,520.50 and 18,438.26 is: 39,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.50 : 18,438.26 = 18,438.26 : x
  2. Step 2: Convert to fraction form
    8,520.50/18,438.26 = 18,438.26/x
  3. Step 3: Cross multiply
    8,520.50x = 18,438.26 × 18,438.26
  4. Step 4: Simplify right side
    8,520.50x = 339,969,351.16
  5. Step 5: Solve for x
    x = 339,969,351.16/8,520.50
  6. Step 6: Final answer
    x = 39,900.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.