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Finding the Third Proportional to 312,016 and 445,874

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Solution

The third proportional to 312,016 and 445,874 is: 637,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,016 : 445,874 = 445,874 : x
  2. Step 2: Convert to fraction form
    312,016/445,874 = 445,874/x
  3. Step 3: Cross multiply
    312,016x = 445,874 × 445,874
  4. Step 4: Simplify right side
    312,016x = 198,803,623,876
  5. Step 5: Solve for x
    x = 198,803,623,876/312,016
  6. Step 6: Final answer
    x = 637,158.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.