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Finding the Third Proportional to 18,686 and 28,043

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Solution

The third proportional to 18,686 and 28,043 is: 42,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686 : 28,043 = 28,043 : x
  2. Step 2: Convert to fraction form
    18,686/28,043 = 28,043/x
  3. Step 3: Cross multiply
    18,686x = 28,043 × 28,043
  4. Step 4: Simplify right side
    18,686x = 786,409,849
  5. Step 5: Solve for x
    x = 786,409,849/18,686
  6. Step 6: Final answer
    x = 42,085.51

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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.