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Finding the Third Proportional to 262,980 and 427,266

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Solution

The third proportional to 262,980 and 427,266 is: 694,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980 : 427,266 = 427,266 : x
  2. Step 2: Convert to fraction form
    262,980/427,266 = 427,266/x
  3. Step 3: Cross multiply
    262,980x = 427,266 × 427,266
  4. Step 4: Simplify right side
    262,980x = 182,556,234,756
  5. Step 5: Solve for x
    x = 182,556,234,756/262,980
  6. Step 6: Final answer
    x = 694,182.96

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.