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Finding the Third Proportional to 212,869 and 295,975.50

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Solution

The third proportional to 212,869 and 295,975.50 is: 411,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,869 : 295,975.50 = 295,975.50 : x
  2. Step 2: Convert to fraction form
    212,869/295,975.50 = 295,975.50/x
  3. Step 3: Cross multiply
    212,869x = 295,975.50 × 295,975.50
  4. Step 4: Simplify right side
    212,869x = 87,601,496,600.25
  5. Step 5: Solve for x
    x = 87,601,496,600.25/212,869
  6. Step 6: Final answer
    x = 411,527.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.