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Finding the Third Proportional to 18,409 and 28,667

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Solution

The third proportional to 18,409 and 28,667 is: 44,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409 : 28,667 = 28,667 : x
  2. Step 2: Convert to fraction form
    18,409/28,667 = 28,667/x
  3. Step 3: Cross multiply
    18,409x = 28,667 × 28,667
  4. Step 4: Simplify right side
    18,409x = 821,796,889
  5. Step 5: Solve for x
    x = 821,796,889/18,409
  6. Step 6: Final answer
    x = 44,641.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.