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Finding the Third Proportional to 28,800 and 43,200

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Solution

The third proportional to 28,800 and 43,200 is: 64,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 43,200 = 43,200 : x
  2. Step 2: Convert to fraction form
    28,800/43,200 = 43,200/x
  3. Step 3: Cross multiply
    28,800x = 43,200 × 43,200
  4. Step 4: Simplify right side
    28,800x = 1,866,240,000
  5. Step 5: Solve for x
    x = 1,866,240,000/28,800
  6. Step 6: Final answer
    x = 64,800

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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.