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Finding the Third Proportional to 442.10 and 682.37

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Solution

The third proportional to 442.10 and 682.37 is: 1,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 682.37 = 682.37 : x
  2. Step 2: Convert to fraction form
    442.10/682.37 = 682.37/x
  3. Step 3: Cross multiply
    442.10x = 682.37 × 682.37
  4. Step 4: Simplify right side
    442.10x = 465,628.31
  5. Step 5: Solve for x
    x = 465,628.31/442.10
  6. Step 6: Final answer
    x = 1,053.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.