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Finding the Third Proportional to 339,063 and 414,879

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Solution

The third proportional to 339,063 and 414,879 is: 507,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,063 : 414,879 = 414,879 : x
  2. Step 2: Convert to fraction form
    339,063/414,879 = 414,879/x
  3. Step 3: Cross multiply
    339,063x = 414,879 × 414,879
  4. Step 4: Simplify right side
    339,063x = 172,124,584,641
  5. Step 5: Solve for x
    x = 172,124,584,641/339,063
  6. Step 6: Final answer
    x = 507,647.80

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.