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Finding the Third Proportional to 28,686 and 61,766

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Solution

The third proportional to 28,686 and 61,766 is: 132,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,686 : 61,766 = 61,766 : x
  2. Step 2: Convert to fraction form
    28,686/61,766 = 61,766/x
  3. Step 3: Cross multiply
    28,686x = 61,766 × 61,766
  4. Step 4: Simplify right side
    28,686x = 3,815,038,756
  5. Step 5: Solve for x
    x = 3,815,038,756/28,686
  6. Step 6: Final answer
    x = 132,993.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.