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Finding the Third Proportional to 137,610.75 and 193,785.38

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Solution

The third proportional to 137,610.75 and 193,785.38 is: 272,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,610.75 : 193,785.38 = 193,785.38 : x
  2. Step 2: Convert to fraction form
    137,610.75/193,785.38 = 193,785.38/x
  3. Step 3: Cross multiply
    137,610.75x = 193,785.38 × 193,785.38
  4. Step 4: Simplify right side
    137,610.75x = 37,552,771,563.89
  5. Step 5: Solve for x
    x = 37,552,771,563.89/137,610.75
  6. Step 6: Final answer
    x = 272,891.26

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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.