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Finding the Third Proportional to 360.28 and 389.39

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Solution

The third proportional to 360.28 and 389.39 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 389.39 = 389.39 : x
  2. Step 2: Convert to fraction form
    360.28/389.39 = 389.39/x
  3. Step 3: Cross multiply
    360.28x = 389.39 × 389.39
  4. Step 4: Simplify right side
    360.28x = 151,625.06
  5. Step 5: Solve for x
    x = 151,625.06/360.28
  6. Step 6: Final answer
    x = 420.85

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.