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Finding the Third Proportional to 422,914.50 and 634,236.75

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Solution

The third proportional to 422,914.50 and 634,236.75 is: 951,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914.50 : 634,236.75 = 634,236.75 : x
  2. Step 2: Convert to fraction form
    422,914.50/634,236.75 = 634,236.75/x
  3. Step 3: Cross multiply
    422,914.50x = 634,236.75 × 634,236.75
  4. Step 4: Simplify right side
    422,914.50x = 402,256,255,050.56
  5. Step 5: Solve for x
    x = 402,256,255,050.56/422,914.50
  6. Step 6: Final answer
    x = 951,152.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.