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Finding the Third Proportional to 303,214.50 and 505,311

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Solution

The third proportional to 303,214.50 and 505,311 is: 842,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,214.50 : 505,311 = 505,311 : x
  2. Step 2: Convert to fraction form
    303,214.50/505,311 = 505,311/x
  3. Step 3: Cross multiply
    303,214.50x = 505,311 × 505,311
  4. Step 4: Simplify right side
    303,214.50x = 255,339,206,721
  5. Step 5: Solve for x
    x = 255,339,206,721/303,214.50
  6. Step 6: Final answer
    x = 842,107.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.