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Finding the Third Proportional to 319,596 and 699,326

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Solution

The third proportional to 319,596 and 699,326 is: 1,530,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,596 : 699,326 = 699,326 : x
  2. Step 2: Convert to fraction form
    319,596/699,326 = 699,326/x
  3. Step 3: Cross multiply
    319,596x = 699,326 × 699,326
  4. Step 4: Simplify right side
    319,596x = 489,056,854,276
  5. Step 5: Solve for x
    x = 489,056,854,276/319,596
  6. Step 6: Final answer
    x = 1,530,234.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.