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Finding the Third Proportional to 208,149 and 451,293

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Solution

The third proportional to 208,149 and 451,293 is: 978,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149 : 451,293 = 451,293 : x
  2. Step 2: Convert to fraction form
    208,149/451,293 = 451,293/x
  3. Step 3: Cross multiply
    208,149x = 451,293 × 451,293
  4. Step 4: Simplify right side
    208,149x = 203,665,371,849
  5. Step 5: Solve for x
    x = 203,665,371,849/208,149
  6. Step 6: Final answer
    x = 978,459.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.