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Finding the Third Proportional to 206,541 and 315,747

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Solution

The third proportional to 206,541 and 315,747 is: 482,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,541 : 315,747 = 315,747 : x
  2. Step 2: Convert to fraction form
    206,541/315,747 = 315,747/x
  3. Step 3: Cross multiply
    206,541x = 315,747 × 315,747
  4. Step 4: Simplify right side
    206,541x = 99,696,168,009
  5. Step 5: Solve for x
    x = 99,696,168,009/206,541
  6. Step 6: Final answer
    x = 482,694.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.