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Finding the Third Proportional to 395,448 and 818,948

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Solution

The third proportional to 395,448 and 818,948 is: 1,695,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448 : 818,948 = 818,948 : x
  2. Step 2: Convert to fraction form
    395,448/818,948 = 818,948/x
  3. Step 3: Cross multiply
    395,448x = 818,948 × 818,948
  4. Step 4: Simplify right side
    395,448x = 670,675,826,704
  5. Step 5: Solve for x
    x = 670,675,826,704/395,448
  6. Step 6: Final answer
    x = 1,695,989.93

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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.