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Finding the Third Proportional to 449,008 and 678,177

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Solution

The third proportional to 449,008 and 678,177 is: 1,024,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,008 : 678,177 = 678,177 : x
  2. Step 2: Convert to fraction form
    449,008/678,177 = 678,177/x
  3. Step 3: Cross multiply
    449,008x = 678,177 × 678,177
  4. Step 4: Simplify right side
    449,008x = 459,924,043,329
  5. Step 5: Solve for x
    x = 459,924,043,329/449,008
  6. Step 6: Final answer
    x = 1,024,311.47

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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.