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Finding the Third Proportional to 206,770 and 313,274

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Solution

The third proportional to 206,770 and 313,274 is: 474,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770 : 313,274 = 313,274 : x
  2. Step 2: Convert to fraction form
    206,770/313,274 = 313,274/x
  3. Step 3: Cross multiply
    206,770x = 313,274 × 313,274
  4. Step 4: Simplify right side
    206,770x = 98,140,599,076
  5. Step 5: Solve for x
    x = 98,140,599,076/206,770
  6. Step 6: Final answer
    x = 474,636.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.