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Finding the Third Proportional to 262.78 and 399.42

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Solution

The third proportional to 262.78 and 399.42 is: 607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 399.42 = 399.42 : x
  2. Step 2: Convert to fraction form
    262.78/399.42 = 399.42/x
  3. Step 3: Cross multiply
    262.78x = 399.42 × 399.42
  4. Step 4: Simplify right side
    262.78x = 159,537.83
  5. Step 5: Solve for x
    x = 159,537.83/262.78
  6. Step 6: Final answer
    x = 607.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.