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Finding the Third Proportional to 7,321.50 and 19,221.75

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Solution

The third proportional to 7,321.50 and 19,221.75 is: 50,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.50 : 19,221.75 = 19,221.75 : x
  2. Step 2: Convert to fraction form
    7,321.50/19,221.75 = 19,221.75/x
  3. Step 3: Cross multiply
    7,321.50x = 19,221.75 × 19,221.75
  4. Step 4: Simplify right side
    7,321.50x = 369,475,673.06
  5. Step 5: Solve for x
    x = 369,475,673.06/7,321.50
  6. Step 6: Final answer
    x = 50,464.48

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.