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Finding the Third Proportional to 155,682 and 329,874

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Solution

The third proportional to 155,682 and 329,874 is: 698,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,682 : 329,874 = 329,874 : x
  2. Step 2: Convert to fraction form
    155,682/329,874 = 329,874/x
  3. Step 3: Cross multiply
    155,682x = 329,874 × 329,874
  4. Step 4: Simplify right side
    155,682x = 108,816,855,876
  5. Step 5: Solve for x
    x = 108,816,855,876/155,682
  6. Step 6: Final answer
    x = 698,968.77

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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.