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Finding the Third Proportional to 84,530 and 126,534

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Solution

The third proportional to 84,530 and 126,534 is: 189,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530 : 126,534 = 126,534 : x
  2. Step 2: Convert to fraction form
    84,530/126,534 = 126,534/x
  3. Step 3: Cross multiply
    84,530x = 126,534 × 126,534
  4. Step 4: Simplify right side
    84,530x = 16,010,853,156
  5. Step 5: Solve for x
    x = 16,010,853,156/84,530
  6. Step 6: Final answer
    x = 189,410.31

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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.