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Finding the Third Proportional to 395,616 and 818,880

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Solution

The third proportional to 395,616 and 818,880 is: 1,694,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,616 : 818,880 = 818,880 : x
  2. Step 2: Convert to fraction form
    395,616/818,880 = 818,880/x
  3. Step 3: Cross multiply
    395,616x = 818,880 × 818,880
  4. Step 4: Simplify right side
    395,616x = 670,564,454,400
  5. Step 5: Solve for x
    x = 670,564,454,400/395,616
  6. Step 6: Final answer
    x = 1,694,988.21

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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.