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Finding the Third Proportional to 225,589 and 317,397

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Solution

The third proportional to 225,589 and 317,397 is: 446,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,589 : 317,397 = 317,397 : x
  2. Step 2: Convert to fraction form
    225,589/317,397 = 317,397/x
  3. Step 3: Cross multiply
    225,589x = 317,397 × 317,397
  4. Step 4: Simplify right side
    225,589x = 100,740,855,609
  5. Step 5: Solve for x
    x = 100,740,855,609/225,589
  6. Step 6: Final answer
    x = 446,568.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.