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Finding the Third Proportional to 154,631 and 325,858

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Solution

The third proportional to 154,631 and 325,858 is: 686,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,631 : 325,858 = 325,858 : x
  2. Step 2: Convert to fraction form
    154,631/325,858 = 325,858/x
  3. Step 3: Cross multiply
    154,631x = 325,858 × 325,858
  4. Step 4: Simplify right side
    154,631x = 106,183,436,164
  5. Step 5: Solve for x
    x = 106,183,436,164/154,631
  6. Step 6: Final answer
    x = 686,689.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.