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Finding the Third Proportional to 200,533 and 428,134

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Solution

The third proportional to 200,533 and 428,134 is: 914,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,533 : 428,134 = 428,134 : x
  2. Step 2: Convert to fraction form
    200,533/428,134 = 428,134/x
  3. Step 3: Cross multiply
    200,533x = 428,134 × 428,134
  4. Step 4: Simplify right side
    200,533x = 183,298,721,956
  5. Step 5: Solve for x
    x = 183,298,721,956/200,533
  6. Step 6: Final answer
    x = 914,057.65

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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.