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Finding the Third Proportional to 126,357 and 197,137.50

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Solution

The third proportional to 126,357 and 197,137.50 is: 307,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,357 : 197,137.50 = 197,137.50 : x
  2. Step 2: Convert to fraction form
    126,357/197,137.50 = 197,137.50/x
  3. Step 3: Cross multiply
    126,357x = 197,137.50 × 197,137.50
  4. Step 4: Simplify right side
    126,357x = 38,863,193,906.25
  5. Step 5: Solve for x
    x = 38,863,193,906.25/126,357
  6. Step 6: Final answer
    x = 307,566.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.