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Finding the Third Proportional to 3,689 and 4,091

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Solution

The third proportional to 3,689 and 4,091 is: 4,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 4,091 = 4,091 : x
  2. Step 2: Convert to fraction form
    3,689/4,091 = 4,091/x
  3. Step 3: Cross multiply
    3,689x = 4,091 × 4,091
  4. Step 4: Simplify right side
    3,689x = 16,736,281
  5. Step 5: Solve for x
    x = 16,736,281/3,689
  6. Step 6: Final answer
    x = 4,536.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.