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Finding the Third Proportional to 193,458 and 273,987

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Solution

The third proportional to 193,458 and 273,987 is: 388,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,458 : 273,987 = 273,987 : x
  2. Step 2: Convert to fraction form
    193,458/273,987 = 273,987/x
  3. Step 3: Cross multiply
    193,458x = 273,987 × 273,987
  4. Step 4: Simplify right side
    193,458x = 75,068,876,169
  5. Step 5: Solve for x
    x = 75,068,876,169/193,458
  6. Step 6: Final answer
    x = 388,037.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.