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Finding the Third Proportional to 262.30 and 399.78

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Solution

The third proportional to 262.30 and 399.78 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 399.78 = 399.78 : x
  2. Step 2: Convert to fraction form
    262.30/399.78 = 399.78/x
  3. Step 3: Cross multiply
    262.30x = 399.78 × 399.78
  4. Step 4: Simplify right side
    262.30x = 159,823.49
  5. Step 5: Solve for x
    x = 159,823.49/262.30
  6. Step 6: Final answer
    x = 609.31

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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.