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Finding the Third Proportional to 18,019 and 28,786

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Solution

The third proportional to 18,019 and 28,786 is: 45,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,019 : 28,786 = 28,786 : x
  2. Step 2: Convert to fraction form
    18,019/28,786 = 28,786/x
  3. Step 3: Cross multiply
    18,019x = 28,786 × 28,786
  4. Step 4: Simplify right side
    18,019x = 828,633,796
  5. Step 5: Solve for x
    x = 828,633,796/18,019
  6. Step 6: Final answer
    x = 45,986.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.