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Finding the Third Proportional to 319,578 and 699,285

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Solution

The third proportional to 319,578 and 699,285 is: 1,530,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,578 : 699,285 = 699,285 : x
  2. Step 2: Convert to fraction form
    319,578/699,285 = 699,285/x
  3. Step 3: Cross multiply
    319,578x = 699,285 × 699,285
  4. Step 4: Simplify right side
    319,578x = 488,999,511,225
  5. Step 5: Solve for x
    x = 488,999,511,225/319,578
  6. Step 6: Final answer
    x = 1,530,141.35

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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.