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Finding the Third Proportional to 206,144 and 447,538

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Solution

The third proportional to 206,144 and 447,538 is: 971,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,144 : 447,538 = 447,538 : x
  2. Step 2: Convert to fraction form
    206,144/447,538 = 447,538/x
  3. Step 3: Cross multiply
    206,144x = 447,538 × 447,538
  4. Step 4: Simplify right side
    206,144x = 200,290,261,444
  5. Step 5: Solve for x
    x = 200,290,261,444/206,144
  6. Step 6: Final answer
    x = 971,603.64

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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.