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Finding the Third Proportional to 251.88 and 385.19

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Solution

The third proportional to 251.88 and 385.19 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 385.19 = 385.19 : x
  2. Step 2: Convert to fraction form
    251.88/385.19 = 385.19/x
  3. Step 3: Cross multiply
    251.88x = 385.19 × 385.19
  4. Step 4: Simplify right side
    251.88x = 148,369.41
  5. Step 5: Solve for x
    x = 148,369.41/251.88
  6. Step 6: Final answer
    x = 589.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.