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Finding the Third Proportional to 81,200 and 177,155

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Solution

The third proportional to 81,200 and 177,155 is: 386,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,200 : 177,155 = 177,155 : x
  2. Step 2: Convert to fraction form
    81,200/177,155 = 177,155/x
  3. Step 3: Cross multiply
    81,200x = 177,155 × 177,155
  4. Step 4: Simplify right side
    81,200x = 31,383,894,025
  5. Step 5: Solve for x
    x = 31,383,894,025/81,200
  6. Step 6: Final answer
    x = 386,501.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.