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Finding the Third Proportional to 1,677.66 and 3,690.84

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Solution

The third proportional to 1,677.66 and 3,690.84 is: 8,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.66 : 3,690.84 = 3,690.84 : x
  2. Step 2: Convert to fraction form
    1,677.66/3,690.84 = 3,690.84/x
  3. Step 3: Cross multiply
    1,677.66x = 3,690.84 × 3,690.84
  4. Step 4: Simplify right side
    1,677.66x = 13,622,327.59
  5. Step 5: Solve for x
    x = 13,622,327.59/1,677.66
  6. Step 6: Final answer
    x = 8,119.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.