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Finding the Third Proportional to 81,396 and 167,664

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Solution

The third proportional to 81,396 and 167,664 is: 345,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 167,664 = 167,664 : x
  2. Step 2: Convert to fraction form
    81,396/167,664 = 167,664/x
  3. Step 3: Cross multiply
    81,396x = 167,664 × 167,664
  4. Step 4: Simplify right side
    81,396x = 28,111,216,896
  5. Step 5: Solve for x
    x = 28,111,216,896/81,396
  6. Step 6: Final answer
    x = 345,363.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.