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Finding the Third Proportional to 1,684.97 and 3,216.80

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Solution

The third proportional to 1,684.97 and 3,216.80 is: 6,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.97 : 3,216.80 = 3,216.80 : x
  2. Step 2: Convert to fraction form
    1,684.97/3,216.80 = 3,216.80/x
  3. Step 3: Cross multiply
    1,684.97x = 3,216.80 × 3,216.80
  4. Step 4: Simplify right side
    1,684.97x = 10,347,782.14
  5. Step 5: Solve for x
    x = 10,347,782.14/1,684.97
  6. Step 6: Final answer
    x = 6,141.23

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.