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Finding the Third Proportional to 269,530 and 449,178

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Solution

The third proportional to 269,530 and 449,178 is: 748,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,530 : 449,178 = 449,178 : x
  2. Step 2: Convert to fraction form
    269,530/449,178 = 449,178/x
  3. Step 3: Cross multiply
    269,530x = 449,178 × 449,178
  4. Step 4: Simplify right side
    269,530x = 201,760,875,684
  5. Step 5: Solve for x
    x = 201,760,875,684/269,530
  6. Step 6: Final answer
    x = 748,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.