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Finding the Third Proportional to 133,744.92 and 195,694.73

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Solution

The third proportional to 133,744.92 and 195,694.73 is: 286,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,744.92 : 195,694.73 = 195,694.73 : x
  2. Step 2: Convert to fraction form
    133,744.92/195,694.73 = 195,694.73/x
  3. Step 3: Cross multiply
    133,744.92x = 195,694.73 × 195,694.73
  4. Step 4: Simplify right side
    133,744.92x = 38,296,429,062.10
  5. Step 5: Solve for x
    x = 38,296,429,062.10/133,744.92
  6. Step 6: Final answer
    x = 286,339.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.