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Finding the Third Proportional to 137,640.38 and 193,826.63

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Solution

The third proportional to 137,640.38 and 193,826.63 is: 272,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.38 : 193,826.63 = 193,826.63 : x
  2. Step 2: Convert to fraction form
    137,640.38/193,826.63 = 193,826.63/x
  3. Step 3: Cross multiply
    137,640.38x = 193,826.63 × 193,826.63
  4. Step 4: Simplify right side
    137,640.38x = 37,568,760,558.89
  5. Step 5: Solve for x
    x = 37,568,760,558.89/137,640.38
  6. Step 6: Final answer
    x = 272,948.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.