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Finding the Third Proportional to 280,424.25 and 616,923

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Solution

The third proportional to 280,424.25 and 616,923 is: 1,357,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424.25 : 616,923 = 616,923 : x
  2. Step 2: Convert to fraction form
    280,424.25/616,923 = 616,923/x
  3. Step 3: Cross multiply
    280,424.25x = 616,923 × 616,923
  4. Step 4: Simplify right side
    280,424.25x = 380,593,987,929
  5. Step 5: Solve for x
    x = 380,593,987,929/280,424.25
  6. Step 6: Final answer
    x = 1,357,207.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.