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Finding the Third Proportional to 339,023.81 and 512,910.56

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Solution

The third proportional to 339,023.81 and 512,910.56 is: 775,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,023.81 : 512,910.56 = 512,910.56 : x
  2. Step 2: Convert to fraction form
    339,023.81/512,910.56 = 512,910.56/x
  3. Step 3: Cross multiply
    339,023.81x = 512,910.56 × 512,910.56
  4. Step 4: Simplify right side
    339,023.81x = 263,077,245,124.07
  5. Step 5: Solve for x
    x = 263,077,245,124.07/339,023.81
  6. Step 6: Final answer
    x = 775,984.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.