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Finding the Third Proportional to 3,415 and 3,739

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Solution

The third proportional to 3,415 and 3,739 is: 4,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 3,739 = 3,739 : x
  2. Step 2: Convert to fraction form
    3,415/3,739 = 3,739/x
  3. Step 3: Cross multiply
    3,415x = 3,739 × 3,739
  4. Step 4: Simplify right side
    3,415x = 13,980,121
  5. Step 5: Solve for x
    x = 13,980,121/3,415
  6. Step 6: Final answer
    x = 4,093.74

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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.