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Finding the Third Proportional to 334,135.13 and 443,067.75

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Solution

The third proportional to 334,135.13 and 443,067.75 is: 587,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,135.13 : 443,067.75 = 443,067.75 : x
  2. Step 2: Convert to fraction form
    334,135.13/443,067.75 = 443,067.75/x
  3. Step 3: Cross multiply
    334,135.13x = 443,067.75 × 443,067.75
  4. Step 4: Simplify right side
    334,135.13x = 196,309,031,090.06
  5. Step 5: Solve for x
    x = 196,309,031,090.06/334,135.13
  6. Step 6: Final answer
    x = 587,513.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.