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Finding the Third Proportional to 81,873 and 178,164

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Solution

The third proportional to 81,873 and 178,164 is: 387,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873 : 178,164 = 178,164 : x
  2. Step 2: Convert to fraction form
    81,873/178,164 = 178,164/x
  3. Step 3: Cross multiply
    81,873x = 178,164 × 178,164
  4. Step 4: Simplify right side
    81,873x = 31,742,410,896
  5. Step 5: Solve for x
    x = 31,742,410,896/81,873
  6. Step 6: Final answer
    x = 387,703.04

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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.