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Finding the Third Proportional to 159,696 and 338,864

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Solution

The third proportional to 159,696 and 338,864 is: 719,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696 : 338,864 = 338,864 : x
  2. Step 2: Convert to fraction form
    159,696/338,864 = 338,864/x
  3. Step 3: Cross multiply
    159,696x = 338,864 × 338,864
  4. Step 4: Simplify right side
    159,696x = 114,828,810,496
  5. Step 5: Solve for x
    x = 114,828,810,496/159,696
  6. Step 6: Final answer
    x = 719,046.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.