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Finding the Third Proportional to 447,651 and 694,170

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Solution

The third proportional to 447,651 and 694,170 is: 1,076,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,651 : 694,170 = 694,170 : x
  2. Step 2: Convert to fraction form
    447,651/694,170 = 694,170/x
  3. Step 3: Cross multiply
    447,651x = 694,170 × 694,170
  4. Step 4: Simplify right side
    447,651x = 481,871,988,900
  5. Step 5: Solve for x
    x = 481,871,988,900/447,651
  6. Step 6: Final answer
    x = 1,076,445.69

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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.