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Finding the Third Proportional to 84,063 and 126,405

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Solution

The third proportional to 84,063 and 126,405 is: 190,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,063 : 126,405 = 126,405 : x
  2. Step 2: Convert to fraction form
    84,063/126,405 = 126,405/x
  3. Step 3: Cross multiply
    84,063x = 126,405 × 126,405
  4. Step 4: Simplify right side
    84,063x = 15,978,224,025
  5. Step 5: Solve for x
    x = 15,978,224,025/84,063
  6. Step 6: Final answer
    x = 190,074.40

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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.