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Finding the Third Proportional to 126,729 and 189,714

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Solution

The third proportional to 126,729 and 189,714 is: 284,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,729 : 189,714 = 189,714 : x
  2. Step 2: Convert to fraction form
    126,729/189,714 = 189,714/x
  3. Step 3: Cross multiply
    126,729x = 189,714 × 189,714
  4. Step 4: Simplify right side
    126,729x = 35,991,401,796
  5. Step 5: Solve for x
    x = 35,991,401,796/126,729
  6. Step 6: Final answer
    x = 284,002.89

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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.