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Finding the Third Proportional to 395,394 and 823,556

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Solution

The third proportional to 395,394 and 823,556 is: 1,715,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,394 : 823,556 = 823,556 : x
  2. Step 2: Convert to fraction form
    395,394/823,556 = 823,556/x
  3. Step 3: Cross multiply
    395,394x = 823,556 × 823,556
  4. Step 4: Simplify right side
    395,394x = 678,244,485,136
  5. Step 5: Solve for x
    x = 678,244,485,136/395,394
  6. Step 6: Final answer
    x = 1,715,363.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.