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Finding the Third Proportional to 252.56 and 389.29

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Solution

The third proportional to 252.56 and 389.29 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 389.29 = 389.29 : x
  2. Step 2: Convert to fraction form
    252.56/389.29 = 389.29/x
  3. Step 3: Cross multiply
    252.56x = 389.29 × 389.29
  4. Step 4: Simplify right side
    252.56x = 151,542.93
  5. Step 5: Solve for x
    x = 151,542.93/252.56
  6. Step 6: Final answer
    x = 600.02

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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.