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Finding the Third Proportional to 194,413.50 and 278,012.25

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Solution

The third proportional to 194,413.50 and 278,012.25 is: 397,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,413.50 : 278,012.25 = 278,012.25 : x
  2. Step 2: Convert to fraction form
    194,413.50/278,012.25 = 278,012.25/x
  3. Step 3: Cross multiply
    194,413.50x = 278,012.25 × 278,012.25
  4. Step 4: Simplify right side
    194,413.50x = 77,290,811,150.06
  5. Step 5: Solve for x
    x = 77,290,811,150.06/194,413.50
  6. Step 6: Final answer
    x = 397,558.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.