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Finding the Third Proportional to 138,558 and 303,028

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Solution

The third proportional to 138,558 and 303,028 is: 662,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,558 : 303,028 = 303,028 : x
  2. Step 2: Convert to fraction form
    138,558/303,028 = 303,028/x
  3. Step 3: Cross multiply
    138,558x = 303,028 × 303,028
  4. Step 4: Simplify right side
    138,558x = 91,825,968,784
  5. Step 5: Solve for x
    x = 91,825,968,784/138,558
  6. Step 6: Final answer
    x = 662,725.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.