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Finding the Third Proportional to 84,509 and 126,500

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Solution

The third proportional to 84,509 and 126,500 is: 189,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,509 : 126,500 = 126,500 : x
  2. Step 2: Convert to fraction form
    84,509/126,500 = 126,500/x
  3. Step 3: Cross multiply
    84,509x = 126,500 × 126,500
  4. Step 4: Simplify right side
    84,509x = 16,002,250,000
  5. Step 5: Solve for x
    x = 16,002,250,000/84,509
  6. Step 6: Final answer
    x = 189,355.57

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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.