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Finding the Third Proportional to 368 and 523.25

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Solution

The third proportional to 368 and 523.25 is: 744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    368 : 523.25 = 523.25 : x
  2. Step 2: Convert to fraction form
    368/523.25 = 523.25/x
  3. Step 3: Cross multiply
    368x = 523.25 × 523.25
  4. Step 4: Simplify right side
    368x = 273,790.56
  5. Step 5: Solve for x
    x = 273,790.56/368
  6. Step 6: Final answer
    x = 744.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.