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Finding the Third Proportional to 395,452 and 818,956

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Solution

The third proportional to 395,452 and 818,956 is: 1,696,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,452 : 818,956 = 818,956 : x
  2. Step 2: Convert to fraction form
    395,452/818,956 = 818,956/x
  3. Step 3: Cross multiply
    395,452x = 818,956 × 818,956
  4. Step 4: Simplify right side
    395,452x = 670,688,929,936
  5. Step 5: Solve for x
    x = 670,688,929,936/395,452
  6. Step 6: Final answer
    x = 1,696,005.91

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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.