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Finding the Third Proportional to 196,344 and 315,015.75

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Solution

The third proportional to 196,344 and 315,015.75 is: 505,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,344 : 315,015.75 = 315,015.75 : x
  2. Step 2: Convert to fraction form
    196,344/315,015.75 = 315,015.75/x
  3. Step 3: Cross multiply
    196,344x = 315,015.75 × 315,015.75
  4. Step 4: Simplify right side
    196,344x = 99,234,922,748.06
  5. Step 5: Solve for x
    x = 99,234,922,748.06/196,344
  6. Step 6: Final answer
    x = 505,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.