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Finding the Third Proportional to 156,140 and 324,546.50

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Solution

The third proportional to 156,140 and 324,546.50 is: 674,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,140 : 324,546.50 = 324,546.50 : x
  2. Step 2: Convert to fraction form
    156,140/324,546.50 = 324,546.50/x
  3. Step 3: Cross multiply
    156,140x = 324,546.50 × 324,546.50
  4. Step 4: Simplify right side
    156,140x = 105,330,430,662.25
  5. Step 5: Solve for x
    x = 105,330,430,662.25/156,140
  6. Step 6: Final answer
    x = 674,589.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.