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Finding the Third Proportional to 81,440 and 179,224

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Solution

The third proportional to 81,440 and 179,224 is: 394,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,440 : 179,224 = 179,224 : x
  2. Step 2: Convert to fraction form
    81,440/179,224 = 179,224/x
  3. Step 3: Cross multiply
    81,440x = 179,224 × 179,224
  4. Step 4: Simplify right side
    81,440x = 32,121,242,176
  5. Step 5: Solve for x
    x = 32,121,242,176/81,440
  6. Step 6: Final answer
    x = 394,416.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.