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Finding the Third Proportional to 3,742 and 6,206

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Solution

The third proportional to 3,742 and 6,206 is: 10,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 6,206 = 6,206 : x
  2. Step 2: Convert to fraction form
    3,742/6,206 = 6,206/x
  3. Step 3: Cross multiply
    3,742x = 6,206 × 6,206
  4. Step 4: Simplify right side
    3,742x = 38,514,436
  5. Step 5: Solve for x
    x = 38,514,436/3,742
  6. Step 6: Final answer
    x = 10,292.47

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.