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Finding the Third Proportional to 395,445 and 818,942

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Solution

The third proportional to 395,445 and 818,942 is: 1,695,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,445 : 818,942 = 818,942 : x
  2. Step 2: Convert to fraction form
    395,445/818,942 = 818,942/x
  3. Step 3: Cross multiply
    395,445x = 818,942 × 818,942
  4. Step 4: Simplify right side
    395,445x = 670,665,999,364
  5. Step 5: Solve for x
    x = 670,665,999,364/395,445
  6. Step 6: Final answer
    x = 1,695,977.95

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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.