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Finding the Third Proportional to 339,025.50 and 512,907.19

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Solution

The third proportional to 339,025.50 and 512,907.19 is: 775,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,025.50 : 512,907.19 = 512,907.19 : x
  2. Step 2: Convert to fraction form
    339,025.50/512,907.19 = 512,907.19/x
  3. Step 3: Cross multiply
    339,025.50x = 512,907.19 × 512,907.19
  4. Step 4: Simplify right side
    339,025.50x = 263,073,782,989.16
  5. Step 5: Solve for x
    x = 263,073,782,989.16/339,025.50
  6. Step 6: Final answer
    x = 775,970.49

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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.