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Finding the Third Proportional to 1,684.97 and 3,691.41

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Solution

The third proportional to 1,684.97 and 3,691.41 is: 8,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.97 : 3,691.41 = 3,691.41 : x
  2. Step 2: Convert to fraction form
    1,684.97/3,691.41 = 3,691.41/x
  3. Step 3: Cross multiply
    1,684.97x = 3,691.41 × 3,691.41
  4. Step 4: Simplify right side
    1,684.97x = 13,626,480.10
  5. Step 5: Solve for x
    x = 13,626,480.10/1,684.97
  6. Step 6: Final answer
    x = 8,087.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.