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Finding the Third Proportional to 291,984 and 629,544

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Solution

The third proportional to 291,984 and 629,544 is: 1,357,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,984 : 629,544 = 629,544 : x
  2. Step 2: Convert to fraction form
    291,984/629,544 = 629,544/x
  3. Step 3: Cross multiply
    291,984x = 629,544 × 629,544
  4. Step 4: Simplify right side
    291,984x = 396,325,647,936
  5. Step 5: Solve for x
    x = 396,325,647,936/291,984
  6. Step 6: Final answer
    x = 1,357,353.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.