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Finding the Third Proportional to 126,402 and 189,927

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Solution

The third proportional to 126,402 and 189,927 is: 285,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,402 : 189,927 = 189,927 : x
  2. Step 2: Convert to fraction form
    126,402/189,927 = 189,927/x
  3. Step 3: Cross multiply
    126,402x = 189,927 × 189,927
  4. Step 4: Simplify right side
    126,402x = 36,072,265,329
  5. Step 5: Solve for x
    x = 36,072,265,329/126,402
  6. Step 6: Final answer
    x = 285,377.33

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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.