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Finding the Third Proportional to 447,644 and 694,157

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Solution

The third proportional to 447,644 and 694,157 is: 1,076,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,644 : 694,157 = 694,157 : x
  2. Step 2: Convert to fraction form
    447,644/694,157 = 694,157/x
  3. Step 3: Cross multiply
    447,644x = 694,157 × 694,157
  4. Step 4: Simplify right side
    447,644x = 481,853,940,649
  5. Step 5: Solve for x
    x = 481,853,940,649/447,644
  6. Step 6: Final answer
    x = 1,076,422.20

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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.