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Finding the Third Proportional to 206,840 and 303,689

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Solution

The third proportional to 206,840 and 303,689 is: 445,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840 : 303,689 = 303,689 : x
  2. Step 2: Convert to fraction form
    206,840/303,689 = 303,689/x
  3. Step 3: Cross multiply
    206,840x = 303,689 × 303,689
  4. Step 4: Simplify right side
    206,840x = 92,227,008,721
  5. Step 5: Solve for x
    x = 92,227,008,721/206,840
  6. Step 6: Final answer
    x = 445,885.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.