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Finding the Third Proportional to 395,881 and 805,796

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Solution

The third proportional to 395,881 and 805,796 is: 1,640,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,881 : 805,796 = 805,796 : x
  2. Step 2: Convert to fraction form
    395,881/805,796 = 805,796/x
  3. Step 3: Cross multiply
    395,881x = 805,796 × 805,796
  4. Step 4: Simplify right side
    395,881x = 649,307,193,616
  5. Step 5: Solve for x
    x = 649,307,193,616/395,881
  6. Step 6: Final answer
    x = 1,640,157.51

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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.