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Finding the Third Proportional to 138,964.50 and 303,021

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Solution

The third proportional to 138,964.50 and 303,021 is: 660,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,964.50 : 303,021 = 303,021 : x
  2. Step 2: Convert to fraction form
    138,964.50/303,021 = 303,021/x
  3. Step 3: Cross multiply
    138,964.50x = 303,021 × 303,021
  4. Step 4: Simplify right side
    138,964.50x = 91,821,726,441
  5. Step 5: Solve for x
    x = 91,821,726,441/138,964.50
  6. Step 6: Final answer
    x = 660,756.71

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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.