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Finding the Third Proportional to 19,200 and 28,800

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Solution

The third proportional to 19,200 and 28,800 is: 43,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 28,800 = 28,800 : x
  2. Step 2: Convert to fraction form
    19,200/28,800 = 28,800/x
  3. Step 3: Cross multiply
    19,200x = 28,800 × 28,800
  4. Step 4: Simplify right side
    19,200x = 829,440,000
  5. Step 5: Solve for x
    x = 829,440,000/19,200
  6. Step 6: Final answer
    x = 43,200

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.