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Finding the Third Proportional to 126,508.50 and 191,129.63

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Solution

The third proportional to 126,508.50 and 191,129.63 is: 288,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,508.50 : 191,129.63 = 191,129.63 : x
  2. Step 2: Convert to fraction form
    126,508.50/191,129.63 = 191,129.63/x
  3. Step 3: Cross multiply
    126,508.50x = 191,129.63 × 191,129.63
  4. Step 4: Simplify right side
    126,508.50x = 36,530,533,552.64
  5. Step 5: Solve for x
    x = 36,530,533,552.64/126,508.50
  6. Step 6: Final answer
    x = 288,759.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.