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Finding the Third Proportional to 28,782 and 43,620

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Solution

The third proportional to 28,782 and 43,620 is: 66,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782 : 43,620 = 43,620 : x
  2. Step 2: Convert to fraction form
    28,782/43,620 = 43,620/x
  3. Step 3: Cross multiply
    28,782x = 43,620 × 43,620
  4. Step 4: Simplify right side
    28,782x = 1,902,704,400
  5. Step 5: Solve for x
    x = 1,902,704,400/28,782
  6. Step 6: Final answer
    x = 66,107.44

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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.