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Finding the Third Proportional to 84,515 and 126,509

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Solution

The third proportional to 84,515 and 126,509 is: 189,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,515 : 126,509 = 126,509 : x
  2. Step 2: Convert to fraction form
    84,515/126,509 = 126,509/x
  3. Step 3: Cross multiply
    84,515x = 126,509 × 126,509
  4. Step 4: Simplify right side
    84,515x = 16,004,527,081
  5. Step 5: Solve for x
    x = 16,004,527,081/84,515
  6. Step 6: Final answer
    x = 189,369.07

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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.