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Finding the Third Proportional to 319,928.48 and 699,939.98

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Solution

The third proportional to 319,928.48 and 699,939.98 is: 1,531,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,928.48 : 699,939.98 = 699,939.98 : x
  2. Step 2: Convert to fraction form
    319,928.48/699,939.98 = 699,939.98/x
  3. Step 3: Cross multiply
    319,928.48x = 699,939.98 × 699,939.98
  4. Step 4: Simplify right side
    319,928.48x = 489,915,981,726.88
  5. Step 5: Solve for x
    x = 489,915,981,726.88/319,928.48
  6. Step 6: Final answer
    x = 1,531,329.67

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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.