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Finding the Third Proportional to 133,198 and 283,346

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Solution

The third proportional to 133,198 and 283,346 is: 602,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,198 : 283,346 = 283,346 : x
  2. Step 2: Convert to fraction form
    133,198/283,346 = 283,346/x
  3. Step 3: Cross multiply
    133,198x = 283,346 × 283,346
  4. Step 4: Simplify right side
    133,198x = 80,284,955,716
  5. Step 5: Solve for x
    x = 80,284,955,716/133,198
  6. Step 6: Final answer
    x = 602,748.96

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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.