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Finding the Third Proportional to 928.48 and 1,872.14

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Solution

The third proportional to 928.48 and 1,872.14 is: 3,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.48 : 1,872.14 = 1,872.14 : x
  2. Step 2: Convert to fraction form
    928.48/1,872.14 = 1,872.14/x
  3. Step 3: Cross multiply
    928.48x = 1,872.14 × 1,872.14
  4. Step 4: Simplify right side
    928.48x = 3,504,910.52
  5. Step 5: Solve for x
    x = 3,504,910.52/928.48
  6. Step 6: Final answer
    x = 3,774.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.