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Finding the Third Proportional to 405.25 and 585.25

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Solution

The third proportional to 405.25 and 585.25 is: 845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 585.25 = 585.25 : x
  2. Step 2: Convert to fraction form
    405.25/585.25 = 585.25/x
  3. Step 3: Cross multiply
    405.25x = 585.25 × 585.25
  4. Step 4: Simplify right side
    405.25x = 342,517.56
  5. Step 5: Solve for x
    x = 342,517.56/405.25
  6. Step 6: Final answer
    x = 845.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.