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Finding the Third Proportional to 126,239 and 189,686

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Solution

The third proportional to 126,239 and 189,686 is: 285,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,239 : 189,686 = 189,686 : x
  2. Step 2: Convert to fraction form
    126,239/189,686 = 189,686/x
  3. Step 3: Cross multiply
    126,239x = 189,686 × 189,686
  4. Step 4: Simplify right side
    126,239x = 35,980,778,596
  5. Step 5: Solve for x
    x = 35,980,778,596/126,239
  6. Step 6: Final answer
    x = 285,021.10

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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.