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Finding the Third Proportional to 395,444 and 818,940

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Solution

The third proportional to 395,444 and 818,940 is: 1,695,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,444 : 818,940 = 818,940 : x
  2. Step 2: Convert to fraction form
    395,444/818,940 = 818,940/x
  3. Step 3: Cross multiply
    395,444x = 818,940 × 818,940
  4. Step 4: Simplify right side
    395,444x = 670,662,723,600
  5. Step 5: Solve for x
    x = 670,662,723,600/395,444
  6. Step 6: Final answer
    x = 1,695,973.95

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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.