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Finding the Third Proportional to 109,029.80 and 231,268.92

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Solution

The third proportional to 109,029.80 and 231,268.92 is: 490,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,029.80 : 231,268.92 = 231,268.92 : x
  2. Step 2: Convert to fraction form
    109,029.80/231,268.92 = 231,268.92/x
  3. Step 3: Cross multiply
    109,029.80x = 231,268.92 × 231,268.92
  4. Step 4: Simplify right side
    109,029.80x = 53,485,314,225.22
  5. Step 5: Solve for x
    x = 53,485,314,225.22/109,029.80
  6. Step 6: Final answer
    x = 490,556.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.