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Finding the Third Proportional to 395,879 and 805,792

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Solution

The third proportional to 395,879 and 805,792 is: 1,640,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,879 : 805,792 = 805,792 : x
  2. Step 2: Convert to fraction form
    395,879/805,792 = 805,792/x
  3. Step 3: Cross multiply
    395,879x = 805,792 × 805,792
  4. Step 4: Simplify right side
    395,879x = 649,300,747,264
  5. Step 5: Solve for x
    x = 649,300,747,264/395,879
  6. Step 6: Final answer
    x = 1,640,149.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.