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Finding the Third Proportional to 82,215.75 and 177,545.25

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Solution

The third proportional to 82,215.75 and 177,545.25 is: 383,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.75 : 177,545.25 = 177,545.25 : x
  2. Step 2: Convert to fraction form
    82,215.75/177,545.25 = 177,545.25/x
  3. Step 3: Cross multiply
    82,215.75x = 177,545.25 × 177,545.25
  4. Step 4: Simplify right side
    82,215.75x = 31,522,315,797.56
  5. Step 5: Solve for x
    x = 31,522,315,797.56/82,215.75
  6. Step 6: Final answer
    x = 383,409.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.