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Finding the Third Proportional to 946,342 and 2,052,406

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Solution

The third proportional to 946,342 and 2,052,406 is: 4,451,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,342 : 2,052,406 = 2,052,406 : x
  2. Step 2: Convert to fraction form
    946,342/2,052,406 = 2,052,406/x
  3. Step 3: Cross multiply
    946,342x = 2,052,406 × 2,052,406
  4. Step 4: Simplify right side
    946,342x = 4,212,370,388,836
  5. Step 5: Solve for x
    x = 4,212,370,388,836/946,342
  6. Step 6: Final answer
    x = 4,451,213.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.