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Finding the Third Proportional to 490.75 and 935.75

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Solution

The third proportional to 490.75 and 935.75 is: 1,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 935.75 = 935.75 : x
  2. Step 2: Convert to fraction form
    490.75/935.75 = 935.75/x
  3. Step 3: Cross multiply
    490.75x = 935.75 × 935.75
  4. Step 4: Simplify right side
    490.75x = 875,628.06
  5. Step 5: Solve for x
    x = 875,628.06/490.75
  6. Step 6: Final answer
    x = 1,784.27

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.