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Finding the Third Proportional to 395,822 and 805,468

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Solution

The third proportional to 395,822 and 805,468 is: 1,639,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,822 : 805,468 = 805,468 : x
  2. Step 2: Convert to fraction form
    395,822/805,468 = 805,468/x
  3. Step 3: Cross multiply
    395,822x = 805,468 × 805,468
  4. Step 4: Simplify right side
    395,822x = 648,778,699,024
  5. Step 5: Solve for x
    x = 648,778,699,024/395,822
  6. Step 6: Final answer
    x = 1,639,066.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.