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Finding the Third Proportional to 212,241 and 462,390

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Solution

The third proportional to 212,241 and 462,390 is: 1,007,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,241 : 462,390 = 462,390 : x
  2. Step 2: Convert to fraction form
    212,241/462,390 = 462,390/x
  3. Step 3: Cross multiply
    212,241x = 462,390 × 462,390
  4. Step 4: Simplify right side
    212,241x = 213,804,512,100
  5. Step 5: Solve for x
    x = 213,804,512,100/212,241
  6. Step 6: Final answer
    x = 1,007,366.68

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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.