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Finding the Third Proportional to 397,838 and 629,967

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Solution

The third proportional to 397,838 and 629,967 is: 997,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,838 : 629,967 = 629,967 : x
  2. Step 2: Convert to fraction form
    397,838/629,967 = 629,967/x
  3. Step 3: Cross multiply
    397,838x = 629,967 × 629,967
  4. Step 4: Simplify right side
    397,838x = 396,858,421,089
  5. Step 5: Solve for x
    x = 396,858,421,089/397,838
  6. Step 6: Final answer
    x = 997,537.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.