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Finding the Third Proportional to 28,000 and 43,824

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Solution

The third proportional to 28,000 and 43,824 is: 68,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,000 : 43,824 = 43,824 : x
  2. Step 2: Convert to fraction form
    28,000/43,824 = 43,824/x
  3. Step 3: Cross multiply
    28,000x = 43,824 × 43,824
  4. Step 4: Simplify right side
    28,000x = 1,920,542,976
  5. Step 5: Solve for x
    x = 1,920,542,976/28,000
  6. Step 6: Final answer
    x = 68,590.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.