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Finding the Third Proportional to 208,183 and 447,942

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Solution

The third proportional to 208,183 and 447,942 is: 963,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,183 : 447,942 = 447,942 : x
  2. Step 2: Convert to fraction form
    208,183/447,942 = 447,942/x
  3. Step 3: Cross multiply
    208,183x = 447,942 × 447,942
  4. Step 4: Simplify right side
    208,183x = 200,652,035,364
  5. Step 5: Solve for x
    x = 200,652,035,364/208,183
  6. Step 6: Final answer
    x = 963,825.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.