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Finding the Third Proportional to 280,048 and 614,530

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Solution

The third proportional to 280,048 and 614,530 is: 1,348,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,048 : 614,530 = 614,530 : x
  2. Step 2: Convert to fraction form
    280,048/614,530 = 614,530/x
  3. Step 3: Cross multiply
    280,048x = 614,530 × 614,530
  4. Step 4: Simplify right side
    280,048x = 377,647,120,900
  5. Step 5: Solve for x
    x = 377,647,120,900/280,048
  6. Step 6: Final answer
    x = 1,348,508.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.