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Finding the Third Proportional to 206,879 and 277,461

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Solution

The third proportional to 206,879 and 277,461 is: 372,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879 : 277,461 = 277,461 : x
  2. Step 2: Convert to fraction form
    206,879/277,461 = 277,461/x
  3. Step 3: Cross multiply
    206,879x = 277,461 × 277,461
  4. Step 4: Simplify right side
    206,879x = 76,984,606,521
  5. Step 5: Solve for x
    x = 76,984,606,521/206,879
  6. Step 6: Final answer
    x = 372,123.83

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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.