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Finding the Third Proportional to 317,500 and 431,198

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Solution

The third proportional to 317,500 and 431,198 is: 585,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,500 : 431,198 = 431,198 : x
  2. Step 2: Convert to fraction form
    317,500/431,198 = 431,198/x
  3. Step 3: Cross multiply
    317,500x = 431,198 × 431,198
  4. Step 4: Simplify right side
    317,500x = 185,931,715,204
  5. Step 5: Solve for x
    x = 185,931,715,204/317,500
  6. Step 6: Final answer
    x = 585,611.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.