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Finding the Third Proportional to 396 and 948.50

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Solution

The third proportional to 396 and 948.50 is: 2,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 948.50 = 948.50 : x
  2. Step 2: Convert to fraction form
    396/948.50 = 948.50/x
  3. Step 3: Cross multiply
    396x = 948.50 × 948.50
  4. Step 4: Simplify right side
    396x = 899,652.25
  5. Step 5: Solve for x
    x = 899,652.25/396
  6. Step 6: Final answer
    x = 2,271.85

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.