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Finding the Third Proportional to 208,223 and 451,438

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Solution

The third proportional to 208,223 and 451,438 is: 978,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,223 : 451,438 = 451,438 : x
  2. Step 2: Convert to fraction form
    208,223/451,438 = 451,438/x
  3. Step 3: Cross multiply
    208,223x = 451,438 × 451,438
  4. Step 4: Simplify right side
    208,223x = 203,796,267,844
  5. Step 5: Solve for x
    x = 203,796,267,844/208,223
  6. Step 6: Final answer
    x = 978,740.43

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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.