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Finding the Third Proportional to 395,209 and 862,019

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Solution

The third proportional to 395,209 and 862,019 is: 1,880,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,209 : 862,019 = 862,019 : x
  2. Step 2: Convert to fraction form
    395,209/862,019 = 862,019/x
  3. Step 3: Cross multiply
    395,209x = 862,019 × 862,019
  4. Step 4: Simplify right side
    395,209x = 743,076,756,361
  5. Step 5: Solve for x
    x = 743,076,756,361/395,209
  6. Step 6: Final answer
    x = 1,880,212.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.