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Finding the Third Proportional to 339,074.50 and 512,977

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Solution

The third proportional to 339,074.50 and 512,977 is: 776,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,074.50 : 512,977 = 512,977 : x
  2. Step 2: Convert to fraction form
    339,074.50/512,977 = 512,977/x
  3. Step 3: Cross multiply
    339,074.50x = 512,977 × 512,977
  4. Step 4: Simplify right side
    339,074.50x = 263,145,402,529
  5. Step 5: Solve for x
    x = 263,145,402,529/339,074.50
  6. Step 6: Final answer
    x = 776,069.57

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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.