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Finding the Third Proportional to 200,934 and 428,524

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Solution

The third proportional to 200,934 and 428,524 is: 913,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934 : 428,524 = 428,524 : x
  2. Step 2: Convert to fraction form
    200,934/428,524 = 428,524/x
  3. Step 3: Cross multiply
    200,934x = 428,524 × 428,524
  4. Step 4: Simplify right side
    200,934x = 183,632,818,576
  5. Step 5: Solve for x
    x = 183,632,818,576/200,934
  6. Step 6: Final answer
    x = 913,896.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.