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Finding the Third Proportional to 486.42 and 696.30

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Solution

The third proportional to 486.42 and 696.30 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.42 : 696.30 = 696.30 : x
  2. Step 2: Convert to fraction form
    486.42/696.30 = 696.30/x
  3. Step 3: Cross multiply
    486.42x = 696.30 × 696.30
  4. Step 4: Simplify right side
    486.42x = 484,840.22
  5. Step 5: Solve for x
    x = 484,840.22/486.42
  6. Step 6: Final answer
    x = 996.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.