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Finding the Third Proportional to 308,016 and 451,356

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Solution

The third proportional to 308,016 and 451,356 is: 661,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,016 : 451,356 = 451,356 : x
  2. Step 2: Convert to fraction form
    308,016/451,356 = 451,356/x
  3. Step 3: Cross multiply
    308,016x = 451,356 × 451,356
  4. Step 4: Simplify right side
    308,016x = 203,722,238,736
  5. Step 5: Solve for x
    x = 203,722,238,736/308,016
  6. Step 6: Final answer
    x = 661,401.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.