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Finding the Third Proportional to 138,226.50 and 303,555.09

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Solution

The third proportional to 138,226.50 and 303,555.09 is: 666,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,226.50 : 303,555.09 = 303,555.09 : x
  2. Step 2: Convert to fraction form
    138,226.50/303,555.09 = 303,555.09/x
  3. Step 3: Cross multiply
    138,226.50x = 303,555.09 × 303,555.09
  4. Step 4: Simplify right side
    138,226.50x = 92,145,694,941.57
  5. Step 5: Solve for x
    x = 92,145,694,941.57/138,226.50
  6. Step 6: Final answer
    x = 666,628.29

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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.