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Finding the Third Proportional to 395,682 and 805,348

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Solution

The third proportional to 395,682 and 805,348 is: 1,639,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,682 : 805,348 = 805,348 : x
  2. Step 2: Convert to fraction form
    395,682/805,348 = 805,348/x
  3. Step 3: Cross multiply
    395,682x = 805,348 × 805,348
  4. Step 4: Simplify right side
    395,682x = 648,585,401,104
  5. Step 5: Solve for x
    x = 648,585,401,104/395,682
  6. Step 6: Final answer
    x = 1,639,158.22

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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.