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Finding the Third Proportional to 3,181 and 3,415

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Solution

The third proportional to 3,181 and 3,415 is: 3,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181 : 3,415 = 3,415 : x
  2. Step 2: Convert to fraction form
    3,181/3,415 = 3,415/x
  3. Step 3: Cross multiply
    3,181x = 3,415 × 3,415
  4. Step 4: Simplify right side
    3,181x = 11,662,225
  5. Step 5: Solve for x
    x = 11,662,225/3,181
  6. Step 6: Final answer
    x = 3,666.21

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.