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Finding the Third Proportional to 28,615 and 32,787

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Solution

The third proportional to 28,615 and 32,787 is: 37,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,615 : 32,787 = 32,787 : x
  2. Step 2: Convert to fraction form
    28,615/32,787 = 32,787/x
  3. Step 3: Cross multiply
    28,615x = 32,787 × 32,787
  4. Step 4: Simplify right side
    28,615x = 1,074,987,369
  5. Step 5: Solve for x
    x = 1,074,987,369/28,615
  6. Step 6: Final answer
    x = 37,567.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.