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Finding the Third Proportional to 946,343 and 2,052,408

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Solution

The third proportional to 946,343 and 2,052,408 is: 4,451,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,343 : 2,052,408 = 2,052,408 : x
  2. Step 2: Convert to fraction form
    946,343/2,052,408 = 2,052,408/x
  3. Step 3: Cross multiply
    946,343x = 2,052,408 × 2,052,408
  4. Step 4: Simplify right side
    946,343x = 4,212,378,598,464
  5. Step 5: Solve for x
    x = 4,212,378,598,464/946,343
  6. Step 6: Final answer
    x = 4,451,217.58

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Why These Related Problems?

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