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Finding the Third Proportional to 339,025.50 and 512,912.25

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Solution

The third proportional to 339,025.50 and 512,912.25 is: 775,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,025.50 : 512,912.25 = 512,912.25 : x
  2. Step 2: Convert to fraction form
    339,025.50/512,912.25 = 512,912.25/x
  3. Step 3: Cross multiply
    339,025.50x = 512,912.25 × 512,912.25
  4. Step 4: Simplify right side
    339,025.50x = 263,078,976,200.06
  5. Step 5: Solve for x
    x = 263,078,976,200.06/339,025.50
  6. Step 6: Final answer
    x = 775,985.81

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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.