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Finding the Third Proportional to 154,690 and 327,683

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Solution

The third proportional to 154,690 and 327,683 is: 694,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,690 : 327,683 = 327,683 : x
  2. Step 2: Convert to fraction form
    154,690/327,683 = 327,683/x
  3. Step 3: Cross multiply
    154,690x = 327,683 × 327,683
  4. Step 4: Simplify right side
    154,690x = 107,376,148,489
  5. Step 5: Solve for x
    x = 107,376,148,489/154,690
  6. Step 6: Final answer
    x = 694,137.62

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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.