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Finding the Third Proportional to 291,858 and 419,355

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Solution

The third proportional to 291,858 and 419,355 is: 602,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,858 : 419,355 = 419,355 : x
  2. Step 2: Convert to fraction form
    291,858/419,355 = 419,355/x
  3. Step 3: Cross multiply
    291,858x = 419,355 × 419,355
  4. Step 4: Simplify right side
    291,858x = 175,858,616,025
  5. Step 5: Solve for x
    x = 175,858,616,025/291,858
  6. Step 6: Final answer
    x = 602,548.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.