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Finding the Third Proportional to 395,122 and 853,423

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Solution

The third proportional to 395,122 and 853,423 is: 1,843,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,122 : 853,423 = 853,423 : x
  2. Step 2: Convert to fraction form
    395,122/853,423 = 853,423/x
  3. Step 3: Cross multiply
    395,122x = 853,423 × 853,423
  4. Step 4: Simplify right side
    395,122x = 728,330,816,929
  5. Step 5: Solve for x
    x = 728,330,816,929/395,122
  6. Step 6: Final answer
    x = 1,843,306.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.