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Finding the Third Proportional to 169,711 and 335,138

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Solution

The third proportional to 169,711 and 335,138 is: 661,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,711 : 335,138 = 335,138 : x
  2. Step 2: Convert to fraction form
    169,711/335,138 = 335,138/x
  3. Step 3: Cross multiply
    169,711x = 335,138 × 335,138
  4. Step 4: Simplify right side
    169,711x = 112,317,479,044
  5. Step 5: Solve for x
    x = 112,317,479,044/169,711
  6. Step 6: Final answer
    x = 661,816.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.