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Finding the Third Proportional to 206,864 and 320,280

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Solution

The third proportional to 206,864 and 320,280 is: 495,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864 : 320,280 = 320,280 : x
  2. Step 2: Convert to fraction form
    206,864/320,280 = 320,280/x
  3. Step 3: Cross multiply
    206,864x = 320,280 × 320,280
  4. Step 4: Simplify right side
    206,864x = 102,579,278,400
  5. Step 5: Solve for x
    x = 102,579,278,400/206,864
  6. Step 6: Final answer
    x = 495,877.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.