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Finding the Third Proportional to 205,836 and 439,320

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Solution

The third proportional to 205,836 and 439,320 is: 937,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,836 : 439,320 = 439,320 : x
  2. Step 2: Convert to fraction form
    205,836/439,320 = 439,320/x
  3. Step 3: Cross multiply
    205,836x = 439,320 × 439,320
  4. Step 4: Simplify right side
    205,836x = 193,002,062,400
  5. Step 5: Solve for x
    x = 193,002,062,400/205,836
  6. Step 6: Final answer
    x = 937,649.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.