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Finding the Third Proportional to 225.75 and 485.81

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Solution

The third proportional to 225.75 and 485.81 is: 1,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 485.81 = 485.81 : x
  2. Step 2: Convert to fraction form
    225.75/485.81 = 485.81/x
  3. Step 3: Cross multiply
    225.75x = 485.81 × 485.81
  4. Step 4: Simplify right side
    225.75x = 236,013.79
  5. Step 5: Solve for x
    x = 236,013.79/225.75
  6. Step 6: Final answer
    x = 1,045.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.