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Finding the Third Proportional to 395,680 and 805,344

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Solution

The third proportional to 395,680 and 805,344 is: 1,639,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,680 : 805,344 = 805,344 : x
  2. Step 2: Convert to fraction form
    395,680/805,344 = 805,344/x
  3. Step 3: Cross multiply
    395,680x = 805,344 × 805,344
  4. Step 4: Simplify right side
    395,680x = 648,578,958,336
  5. Step 5: Solve for x
    x = 648,578,958,336/395,680
  6. Step 6: Final answer
    x = 1,639,150.22

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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.