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Finding the Third Proportional to 199,634 and 428,476

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Solution

The third proportional to 199,634 and 428,476 is: 919,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634 : 428,476 = 428,476 : x
  2. Step 2: Convert to fraction form
    199,634/428,476 = 428,476/x
  3. Step 3: Cross multiply
    199,634x = 428,476 × 428,476
  4. Step 4: Simplify right side
    199,634x = 183,591,682,576
  5. Step 5: Solve for x
    x = 183,591,682,576/199,634
  6. Step 6: Final answer
    x = 919,641.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.