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Finding the Third Proportional to 1,729.79 and 3,782.64

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Solution

The third proportional to 1,729.79 and 3,782.64 is: 8,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.79 : 3,782.64 = 3,782.64 : x
  2. Step 2: Convert to fraction form
    1,729.79/3,782.64 = 3,782.64/x
  3. Step 3: Cross multiply
    1,729.79x = 3,782.64 × 3,782.64
  4. Step 4: Simplify right side
    1,729.79x = 14,308,340.55
  5. Step 5: Solve for x
    x = 14,308,340.55/1,729.79
  6. Step 6: Final answer
    x = 8,271.71

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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.