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Finding the Third Proportional to 81,128 and 177,196

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Solution

The third proportional to 81,128 and 177,196 is: 387,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128 : 177,196 = 177,196 : x
  2. Step 2: Convert to fraction form
    81,128/177,196 = 177,196/x
  3. Step 3: Cross multiply
    81,128x = 177,196 × 177,196
  4. Step 4: Simplify right side
    81,128x = 31,398,422,416
  5. Step 5: Solve for x
    x = 31,398,422,416/81,128
  6. Step 6: Final answer
    x = 387,023.25

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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.