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Finding the Third Proportional to 279,417 and 419,145

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Solution

The third proportional to 279,417 and 419,145 is: 628,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,417 : 419,145 = 419,145 : x
  2. Step 2: Convert to fraction form
    279,417/419,145 = 419,145/x
  3. Step 3: Cross multiply
    279,417x = 419,145 × 419,145
  4. Step 4: Simplify right side
    279,417x = 175,682,531,025
  5. Step 5: Solve for x
    x = 175,682,531,025/279,417
  6. Step 6: Final answer
    x = 628,746.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.