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Finding the Third Proportional to 206,885 and 277,470

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Solution

The third proportional to 206,885 and 277,470 is: 372,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885 : 277,470 = 277,470 : x
  2. Step 2: Convert to fraction form
    206,885/277,470 = 277,470/x
  3. Step 3: Cross multiply
    206,885x = 277,470 × 277,470
  4. Step 4: Simplify right side
    206,885x = 76,989,600,900
  5. Step 5: Solve for x
    x = 76,989,600,900/206,885
  6. Step 6: Final answer
    x = 372,137.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.