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Finding the Third Proportional to 3,408 and 5,145

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Solution

The third proportional to 3,408 and 5,145 is: 7,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 5,145 = 5,145 : x
  2. Step 2: Convert to fraction form
    3,408/5,145 = 5,145/x
  3. Step 3: Cross multiply
    3,408x = 5,145 × 5,145
  4. Step 4: Simplify right side
    3,408x = 26,471,025
  5. Step 5: Solve for x
    x = 26,471,025/3,408
  6. Step 6: Final answer
    x = 7,767.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.