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Finding the Third Proportional to 428,338 and 952,420

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Solution

The third proportional to 428,338 and 952,420 is: 2,117,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,338 : 952,420 = 952,420 : x
  2. Step 2: Convert to fraction form
    428,338/952,420 = 952,420/x
  3. Step 3: Cross multiply
    428,338x = 952,420 × 952,420
  4. Step 4: Simplify right side
    428,338x = 907,103,856,400
  5. Step 5: Solve for x
    x = 907,103,856,400/428,338
  6. Step 6: Final answer
    x = 2,117,729.12

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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.