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Finding the Third Proportional to 3,117 and 3,405

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Solution

The third proportional to 3,117 and 3,405 is: 3,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117 : 3,405 = 3,405 : x
  2. Step 2: Convert to fraction form
    3,117/3,405 = 3,405/x
  3. Step 3: Cross multiply
    3,117x = 3,405 × 3,405
  4. Step 4: Simplify right side
    3,117x = 11,594,025
  5. Step 5: Solve for x
    x = 11,594,025/3,117
  6. Step 6: Final answer
    x = 3,719.61

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.