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Finding the Third Proportional to 84,280.50 and 126,349.88

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Solution

The third proportional to 84,280.50 and 126,349.88 is: 189,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,280.50 : 126,349.88 = 126,349.88 : x
  2. Step 2: Convert to fraction form
    84,280.50/126,349.88 = 126,349.88/x
  3. Step 3: Cross multiply
    84,280.50x = 126,349.88 × 126,349.88
  4. Step 4: Simplify right side
    84,280.50x = 15,964,290,912.52
  5. Step 5: Solve for x
    x = 15,964,290,912.52/84,280.50
  6. Step 6: Final answer
    x = 189,418.56

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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.