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Finding the Third Proportional to 28,722 and 43,086

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Solution

The third proportional to 28,722 and 43,086 is: 64,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,722 : 43,086 = 43,086 : x
  2. Step 2: Convert to fraction form
    28,722/43,086 = 43,086/x
  3. Step 3: Cross multiply
    28,722x = 43,086 × 43,086
  4. Step 4: Simplify right side
    28,722x = 1,856,403,396
  5. Step 5: Solve for x
    x = 1,856,403,396/28,722
  6. Step 6: Final answer
    x = 64,633.50

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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.