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Finding the Third Proportional to 440.25 and 893.25

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Solution

The third proportional to 440.25 and 893.25 is: 1,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.25 : 893.25 = 893.25 : x
  2. Step 2: Convert to fraction form
    440.25/893.25 = 893.25/x
  3. Step 3: Cross multiply
    440.25x = 893.25 × 893.25
  4. Step 4: Simplify right side
    440.25x = 797,895.56
  5. Step 5: Solve for x
    x = 797,895.56/440.25
  6. Step 6: Final answer
    x = 1,812.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.