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Finding the Third Proportional to 218,650.50 and 328,650.75

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Solution

The third proportional to 218,650.50 and 328,650.75 is: 493,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,650.50 : 328,650.75 = 328,650.75 : x
  2. Step 2: Convert to fraction form
    218,650.50/328,650.75 = 328,650.75/x
  3. Step 3: Cross multiply
    218,650.50x = 328,650.75 × 328,650.75
  4. Step 4: Simplify right side
    218,650.50x = 108,011,315,475.56
  5. Step 5: Solve for x
    x = 108,011,315,475.56/218,650.50
  6. Step 6: Final answer
    x = 493,990.71

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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.