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Finding the Third Proportional to 297,684 and 449,290

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Solution

The third proportional to 297,684 and 449,290 is: 678,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,684 : 449,290 = 449,290 : x
  2. Step 2: Convert to fraction form
    297,684/449,290 = 449,290/x
  3. Step 3: Cross multiply
    297,684x = 449,290 × 449,290
  4. Step 4: Simplify right side
    297,684x = 201,861,504,100
  5. Step 5: Solve for x
    x = 201,861,504,100/297,684
  6. Step 6: Final answer
    x = 678,106.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.