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Finding the Third Proportional to 81 and 567

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Solution

The third proportional to 81 and 567 is: 3,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 567 = 567 : x
  2. Step 2: Convert to fraction form
    81/567 = 567/x
  3. Step 3: Cross multiply
    81x = 567 × 567
  4. Step 4: Simplify right side
    81x = 321,489
  5. Step 5: Solve for x
    x = 321,489/81
  6. Step 6: Final answer
    x = 3,969

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These problems maintain the same ratio (7) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.