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Finding the Third Proportional to 200,532 and 428,124.75

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Solution

The third proportional to 200,532 and 428,124.75 is: 914,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532 : 428,124.75 = 428,124.75 : x
  2. Step 2: Convert to fraction form
    200,532/428,124.75 = 428,124.75/x
  3. Step 3: Cross multiply
    200,532x = 428,124.75 × 428,124.75
  4. Step 4: Simplify right side
    200,532x = 183,290,801,562.56
  5. Step 5: Solve for x
    x = 183,290,801,562.56/200,532
  6. Step 6: Final answer
    x = 914,022.71

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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.