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Finding the Third Proportional to 288 and 317.25

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Solution

The third proportional to 288 and 317.25 is: 349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 317.25 = 317.25 : x
  2. Step 2: Convert to fraction form
    288/317.25 = 317.25/x
  3. Step 3: Cross multiply
    288x = 317.25 × 317.25
  4. Step 4: Simplify right side
    288x = 100,647.56
  5. Step 5: Solve for x
    x = 100,647.56/288
  6. Step 6: Final answer
    x = 349.47

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.