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Finding the Third Proportional to 505.22 and 682.22

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Solution

The third proportional to 505.22 and 682.22 is: 921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 682.22 = 682.22 : x
  2. Step 2: Convert to fraction form
    505.22/682.22 = 682.22/x
  3. Step 3: Cross multiply
    505.22x = 682.22 × 682.22
  4. Step 4: Simplify right side
    505.22x = 465,422.42
  5. Step 5: Solve for x
    x = 465,422.42/505.22
  6. Step 6: Final answer
    x = 921.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.