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Finding the Third Proportional to 490.22 and 782.16

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Solution

The third proportional to 490.22 and 782.16 is: 1,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 782.16 = 782.16 : x
  2. Step 2: Convert to fraction form
    490.22/782.16 = 782.16/x
  3. Step 3: Cross multiply
    490.22x = 782.16 × 782.16
  4. Step 4: Simplify right side
    490.22x = 611,768.40
  5. Step 5: Solve for x
    x = 611,768.40/490.22
  6. Step 6: Final answer
    x = 1,247.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.