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Finding the Third Proportional to 3,689 and 7,207

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Solution

The third proportional to 3,689 and 7,207 is: 14,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 7,207 = 7,207 : x
  2. Step 2: Convert to fraction form
    3,689/7,207 = 7,207/x
  3. Step 3: Cross multiply
    3,689x = 7,207 × 7,207
  4. Step 4: Simplify right side
    3,689x = 51,940,849
  5. Step 5: Solve for x
    x = 51,940,849/3,689
  6. Step 6: Final answer
    x = 14,079.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.