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Finding the Third Proportional to 81,732 and 172,212

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Solution

The third proportional to 81,732 and 172,212 is: 362,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732 : 172,212 = 172,212 : x
  2. Step 2: Convert to fraction form
    81,732/172,212 = 172,212/x
  3. Step 3: Cross multiply
    81,732x = 172,212 × 172,212
  4. Step 4: Simplify right side
    81,732x = 29,656,972,944
  5. Step 5: Solve for x
    x = 29,656,972,944/81,732
  6. Step 6: Final answer
    x = 362,856.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.