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Finding the Third Proportional to 196,449.75 and 321,124.50

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Solution

The third proportional to 196,449.75 and 321,124.50 is: 524,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,449.75 : 321,124.50 = 321,124.50 : x
  2. Step 2: Convert to fraction form
    196,449.75/321,124.50 = 321,124.50/x
  3. Step 3: Cross multiply
    196,449.75x = 321,124.50 × 321,124.50
  4. Step 4: Simplify right side
    196,449.75x = 103,120,944,500.25
  5. Step 5: Solve for x
    x = 103,120,944,500.25/196,449.75
  6. Step 6: Final answer
    x = 524,922.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.