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Finding the Third Proportional to 206,431 and 317,391

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Solution

The third proportional to 206,431 and 317,391 is: 487,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431 : 317,391 = 317,391 : x
  2. Step 2: Convert to fraction form
    206,431/317,391 = 317,391/x
  3. Step 3: Cross multiply
    206,431x = 317,391 × 317,391
  4. Step 4: Simplify right side
    206,431x = 100,737,046,881
  5. Step 5: Solve for x
    x = 100,737,046,881/206,431
  6. Step 6: Final answer
    x = 487,993.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.