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Finding the Third Proportional to 395,205 and 862,011

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Solution

The third proportional to 395,205 and 862,011 is: 1,880,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,205 : 862,011 = 862,011 : x
  2. Step 2: Convert to fraction form
    395,205/862,011 = 862,011/x
  3. Step 3: Cross multiply
    395,205x = 862,011 × 862,011
  4. Step 4: Simplify right side
    395,205x = 743,062,964,121
  5. Step 5: Solve for x
    x = 743,062,964,121/395,205
  6. Step 6: Final answer
    x = 1,880,196.26

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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.