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Finding the Third Proportional to 126,434 and 189,987

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Solution

The third proportional to 126,434 and 189,987 is: 285,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,434 : 189,987 = 189,987 : x
  2. Step 2: Convert to fraction form
    126,434/189,987 = 189,987/x
  3. Step 3: Cross multiply
    126,434x = 189,987 × 189,987
  4. Step 4: Simplify right side
    126,434x = 36,095,060,169
  5. Step 5: Solve for x
    x = 36,095,060,169/126,434
  6. Step 6: Final answer
    x = 285,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.