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Finding the Third Proportional to 447,640 and 694,152

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Solution

The third proportional to 447,640 and 694,152 is: 1,076,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,640 : 694,152 = 694,152 : x
  2. Step 2: Convert to fraction form
    447,640/694,152 = 694,152/x
  3. Step 3: Cross multiply
    447,640x = 694,152 × 694,152
  4. Step 4: Simplify right side
    447,640x = 481,846,999,104
  5. Step 5: Solve for x
    x = 481,846,999,104/447,640
  6. Step 6: Final answer
    x = 1,076,416.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.