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Finding the Third Proportional to 406.75 and 900.25

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Solution

The third proportional to 406.75 and 900.25 is: 1,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 900.25 = 900.25 : x
  2. Step 2: Convert to fraction form
    406.75/900.25 = 900.25/x
  3. Step 3: Cross multiply
    406.75x = 900.25 × 900.25
  4. Step 4: Simplify right side
    406.75x = 810,450.06
  5. Step 5: Solve for x
    x = 810,450.06/406.75
  6. Step 6: Final answer
    x = 1,992.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.