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Finding the Third Proportional to 679,203 and 994,738.50

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Solution

The third proportional to 679,203 and 994,738.50 is: 1,456,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,203 : 994,738.50 = 994,738.50 : x
  2. Step 2: Convert to fraction form
    679,203/994,738.50 = 994,738.50/x
  3. Step 3: Cross multiply
    679,203x = 994,738.50 × 994,738.50
  4. Step 4: Simplify right side
    679,203x = 989,504,683,382.25
  5. Step 5: Solve for x
    x = 989,504,683,382.25/679,203
  6. Step 6: Final answer
    x = 1,456,861.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.