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Finding the Third Proportional to 486 and 662

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Solution

The third proportional to 486 and 662 is: 901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 662 = 662 : x
  2. Step 2: Convert to fraction form
    486/662 = 662/x
  3. Step 3: Cross multiply
    486x = 662 × 662
  4. Step 4: Simplify right side
    486x = 438,244
  5. Step 5: Solve for x
    x = 438,244/486
  6. Step 6: Final answer
    x = 901.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.