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Finding the Third Proportional to 18,430 and 20,009

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Solution

The third proportional to 18,430 and 20,009 is: 21,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430 : 20,009 = 20,009 : x
  2. Step 2: Convert to fraction form
    18,430/20,009 = 20,009/x
  3. Step 3: Cross multiply
    18,430x = 20,009 × 20,009
  4. Step 4: Simplify right side
    18,430x = 400,360,081
  5. Step 5: Solve for x
    x = 400,360,081/18,430
  6. Step 6: Final answer
    x = 21,723.28

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.