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Finding the Third Proportional to 252.42 and 389.39

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Solution

The third proportional to 252.42 and 389.39 is: 600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 389.39 = 389.39 : x
  2. Step 2: Convert to fraction form
    252.42/389.39 = 389.39/x
  3. Step 3: Cross multiply
    252.42x = 389.39 × 389.39
  4. Step 4: Simplify right side
    252.42x = 151,625.06
  5. Step 5: Solve for x
    x = 151,625.06/252.42
  6. Step 6: Final answer
    x = 600.68

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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.