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Finding the Third Proportional to 38,480.50 and 82,718.75

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Solution

The third proportional to 38,480.50 and 82,718.75 is: 177,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.50 : 82,718.75 = 82,718.75 : x
  2. Step 2: Convert to fraction form
    38,480.50/82,718.75 = 82,718.75/x
  3. Step 3: Cross multiply
    38,480.50x = 82,718.75 × 82,718.75
  4. Step 4: Simplify right side
    38,480.50x = 6,842,391,601.56
  5. Step 5: Solve for x
    x = 6,842,391,601.56/38,480.50
  6. Step 6: Final answer
    x = 177,814.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.