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Finding the Third Proportional to 298,019 and 449,765

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Solution

The third proportional to 298,019 and 449,765 is: 678,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,019 : 449,765 = 449,765 : x
  2. Step 2: Convert to fraction form
    298,019/449,765 = 449,765/x
  3. Step 3: Cross multiply
    298,019x = 449,765 × 449,765
  4. Step 4: Simplify right side
    298,019x = 202,288,555,225
  5. Step 5: Solve for x
    x = 202,288,555,225/298,019
  6. Step 6: Final answer
    x = 678,777.38

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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.