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Finding the Third Proportional to 156,861.56 and 321,990.19

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Solution

The third proportional to 156,861.56 and 321,990.19 is: 660,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,861.56 : 321,990.19 = 321,990.19 : x
  2. Step 2: Convert to fraction form
    156,861.56/321,990.19 = 321,990.19/x
  3. Step 3: Cross multiply
    156,861.56x = 321,990.19 × 321,990.19
  4. Step 4: Simplify right side
    156,861.56x = 103,677,680,846.29
  5. Step 5: Solve for x
    x = 103,677,680,846.29/156,861.56
  6. Step 6: Final answer
    x = 660,950.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.