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Finding the Third Proportional to 305,121.66 and 638,127.56

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Solution

The third proportional to 305,121.66 and 638,127.56 is: 1,334,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,121.66 : 638,127.56 = 638,127.56 : x
  2. Step 2: Convert to fraction form
    305,121.66/638,127.56 = 638,127.56/x
  3. Step 3: Cross multiply
    305,121.66x = 638,127.56 × 638,127.56
  4. Step 4: Simplify right side
    305,121.66x = 407,206,786,022.19
  5. Step 5: Solve for x
    x = 407,206,786,022.19/305,121.66
  6. Step 6: Final answer
    x = 1,334,571.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.