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Finding the Third Proportional to 81,396 and 169,028

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Solution

The third proportional to 81,396 and 169,028 is: 351,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396 : 169,028 = 169,028 : x
  2. Step 2: Convert to fraction form
    81,396/169,028 = 169,028/x
  3. Step 3: Cross multiply
    81,396x = 169,028 × 169,028
  4. Step 4: Simplify right side
    81,396x = 28,570,464,784
  5. Step 5: Solve for x
    x = 28,570,464,784/81,396
  6. Step 6: Final answer
    x = 351,005.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.