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Finding the Third Proportional to 722.94 and 1,409.88

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Solution

The third proportional to 722.94 and 1,409.88 is: 2,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.94 : 1,409.88 = 1,409.88 : x
  2. Step 2: Convert to fraction form
    722.94/1,409.88 = 1,409.88/x
  3. Step 3: Cross multiply
    722.94x = 1,409.88 × 1,409.88
  4. Step 4: Simplify right side
    722.94x = 1,987,747.52
  5. Step 5: Solve for x
    x = 1,987,747.52/722.94
  6. Step 6: Final answer
    x = 2,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.