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Finding the Third Proportional to 905.75 and 1,323.25

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Solution

The third proportional to 905.75 and 1,323.25 is: 1,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.75 : 1,323.25 = 1,323.25 : x
  2. Step 2: Convert to fraction form
    905.75/1,323.25 = 1,323.25/x
  3. Step 3: Cross multiply
    905.75x = 1,323.25 × 1,323.25
  4. Step 4: Simplify right side
    905.75x = 1,750,990.56
  5. Step 5: Solve for x
    x = 1,750,990.56/905.75
  6. Step 6: Final answer
    x = 1,933.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.