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Finding the Third Proportional to 319,279 and 426,039

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Solution

The third proportional to 319,279 and 426,039 is: 568,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,279 : 426,039 = 426,039 : x
  2. Step 2: Convert to fraction form
    319,279/426,039 = 426,039/x
  3. Step 3: Cross multiply
    319,279x = 426,039 × 426,039
  4. Step 4: Simplify right side
    319,279x = 181,509,229,521
  5. Step 5: Solve for x
    x = 181,509,229,521/319,279
  6. Step 6: Final answer
    x = 568,497.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.