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Finding the Third Proportional to 395,207 and 862,015

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Solution

The third proportional to 395,207 and 862,015 is: 1,880,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,207 : 862,015 = 862,015 : x
  2. Step 2: Convert to fraction form
    395,207/862,015 = 862,015/x
  3. Step 3: Cross multiply
    395,207x = 862,015 × 862,015
  4. Step 4: Simplify right side
    395,207x = 743,069,860,225
  5. Step 5: Solve for x
    x = 743,069,860,225/395,207
  6. Step 6: Final answer
    x = 1,880,204.20

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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.