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Finding the Third Proportional to 388,616 and 836,282

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Solution

The third proportional to 388,616 and 836,282 is: 1,799,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,616 : 836,282 = 836,282 : x
  2. Step 2: Convert to fraction form
    388,616/836,282 = 836,282/x
  3. Step 3: Cross multiply
    388,616x = 836,282 × 836,282
  4. Step 4: Simplify right side
    388,616x = 699,367,583,524
  5. Step 5: Solve for x
    x = 699,367,583,524/388,616
  6. Step 6: Final answer
    x = 1,799,636.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.