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Finding the Third Proportional to 395,446 and 818,944

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Solution

The third proportional to 395,446 and 818,944 is: 1,695,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,446 : 818,944 = 818,944 : x
  2. Step 2: Convert to fraction form
    395,446/818,944 = 818,944/x
  3. Step 3: Cross multiply
    395,446x = 818,944 × 818,944
  4. Step 4: Simplify right side
    395,446x = 670,669,275,136
  5. Step 5: Solve for x
    x = 670,669,275,136/395,446
  6. Step 6: Final answer
    x = 1,695,981.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.