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Finding the Third Proportional to 8,409.13 and 18,219.30

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Solution

The third proportional to 8,409.13 and 18,219.30 is: 39,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.13 : 18,219.30 = 18,219.30 : x
  2. Step 2: Convert to fraction form
    8,409.13/18,219.30 = 18,219.30/x
  3. Step 3: Cross multiply
    8,409.13x = 18,219.30 × 18,219.30
  4. Step 4: Simplify right side
    8,409.13x = 331,943,063.30
  5. Step 5: Solve for x
    x = 331,943,063.30/8,409.13
  6. Step 6: Final answer
    x = 39,474.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.