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Finding the Third Proportional to 138,361.92 and 297,955.97

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Solution

The third proportional to 138,361.92 and 297,955.97 is: 641,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.92 : 297,955.97 = 297,955.97 : x
  2. Step 2: Convert to fraction form
    138,361.92/297,955.97 = 297,955.97/x
  3. Step 3: Cross multiply
    138,361.92x = 297,955.97 × 297,955.97
  4. Step 4: Simplify right side
    138,361.92x = 88,777,759,313.75
  5. Step 5: Solve for x
    x = 88,777,759,313.75/138,361.92
  6. Step 6: Final answer
    x = 641,634.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.