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Finding the Third Proportional to 705 and 990.75

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Solution

The third proportional to 705 and 990.75 is: 1,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 990.75 = 990.75 : x
  2. Step 2: Convert to fraction form
    705/990.75 = 990.75/x
  3. Step 3: Cross multiply
    705x = 990.75 × 990.75
  4. Step 4: Simplify right side
    705x = 981,585.56
  5. Step 5: Solve for x
    x = 981,585.56/705
  6. Step 6: Final answer
    x = 1,392.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.