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Finding the Third Proportional to 319,608 and 699,336

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Solution

The third proportional to 319,608 and 699,336 is: 1,530,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,608 : 699,336 = 699,336 : x
  2. Step 2: Convert to fraction form
    319,608/699,336 = 699,336/x
  3. Step 3: Cross multiply
    319,608x = 699,336 × 699,336
  4. Step 4: Simplify right side
    319,608x = 489,070,840,896
  5. Step 5: Solve for x
    x = 489,070,840,896/319,608
  6. Step 6: Final answer
    x = 1,530,220.90

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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.