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Finding the Third Proportional to 208,221 and 451,434

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Solution

The third proportional to 208,221 and 451,434 is: 978,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221 : 451,434 = 451,434 : x
  2. Step 2: Convert to fraction form
    208,221/451,434 = 451,434/x
  3. Step 3: Cross multiply
    208,221x = 451,434 × 451,434
  4. Step 4: Simplify right side
    208,221x = 203,792,656,356
  5. Step 5: Solve for x
    x = 203,792,656,356/208,221
  6. Step 6: Final answer
    x = 978,732.48

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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.