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Finding the Third Proportional to 28,849 and 43,815

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Solution

The third proportional to 28,849 and 43,815 is: 66,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,849 : 43,815 = 43,815 : x
  2. Step 2: Convert to fraction form
    28,849/43,815 = 43,815/x
  3. Step 3: Cross multiply
    28,849x = 43,815 × 43,815
  4. Step 4: Simplify right side
    28,849x = 1,919,754,225
  5. Step 5: Solve for x
    x = 1,919,754,225/28,849
  6. Step 6: Final answer
    x = 66,544.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.