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Finding the Third Proportional to 428,333 and 952,408

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Solution

The third proportional to 428,333 and 952,408 is: 2,117,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,333 : 952,408 = 952,408 : x
  2. Step 2: Convert to fraction form
    428,333/952,408 = 952,408/x
  3. Step 3: Cross multiply
    428,333x = 952,408 × 952,408
  4. Step 4: Simplify right side
    428,333x = 907,080,998,464
  5. Step 5: Solve for x
    x = 907,080,998,464/428,333
  6. Step 6: Final answer
    x = 2,117,700.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.