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Finding the Third Proportional to 252.33 and 389.67

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Solution

The third proportional to 252.33 and 389.67 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.33 : 389.67 = 389.67 : x
  2. Step 2: Convert to fraction form
    252.33/389.67 = 389.67/x
  3. Step 3: Cross multiply
    252.33x = 389.67 × 389.67
  4. Step 4: Simplify right side
    252.33x = 151,844.17
  5. Step 5: Solve for x
    x = 151,844.17/252.33
  6. Step 6: Final answer
    x = 601.77

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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.