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Finding the Third Proportional to 3,462 and 6,076

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Solution

The third proportional to 3,462 and 6,076 is: 10,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 6,076 = 6,076 : x
  2. Step 2: Convert to fraction form
    3,462/6,076 = 6,076/x
  3. Step 3: Cross multiply
    3,462x = 6,076 × 6,076
  4. Step 4: Simplify right side
    3,462x = 36,917,776
  5. Step 5: Solve for x
    x = 36,917,776/3,462
  6. Step 6: Final answer
    x = 10,663.71

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.