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Finding the Third Proportional to 490.75 and 761.25

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Solution

The third proportional to 490.75 and 761.25 is: 1,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 761.25 = 761.25 : x
  2. Step 2: Convert to fraction form
    490.75/761.25 = 761.25/x
  3. Step 3: Cross multiply
    490.75x = 761.25 × 761.25
  4. Step 4: Simplify right side
    490.75x = 579,501.56
  5. Step 5: Solve for x
    x = 579,501.56/490.75
  6. Step 6: Final answer
    x = 1,180.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.