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Finding the Third Proportional to 291,966 and 629,508

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Solution

The third proportional to 291,966 and 629,508 is: 1,357,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,966 : 629,508 = 629,508 : x
  2. Step 2: Convert to fraction form
    291,966/629,508 = 629,508/x
  3. Step 3: Cross multiply
    291,966x = 629,508 × 629,508
  4. Step 4: Simplify right side
    291,966x = 396,280,322,064
  5. Step 5: Solve for x
    x = 396,280,322,064/291,966
  6. Step 6: Final answer
    x = 1,357,282.43

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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.