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Finding the Third Proportional to 1,661 and 3,454

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Solution

The third proportional to 1,661 and 3,454 is: 7,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661 : 3,454 = 3,454 : x
  2. Step 2: Convert to fraction form
    1,661/3,454 = 3,454/x
  3. Step 3: Cross multiply
    1,661x = 3,454 × 3,454
  4. Step 4: Simplify right side
    1,661x = 11,930,116
  5. Step 5: Solve for x
    x = 11,930,116/1,661
  6. Step 6: Final answer
    x = 7,182.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.