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Finding the Third Proportional to 18,459 and 20,119.50

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Solution

The third proportional to 18,459 and 20,119.50 is: 21,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,459 : 20,119.50 = 20,119.50 : x
  2. Step 2: Convert to fraction form
    18,459/20,119.50 = 20,119.50/x
  3. Step 3: Cross multiply
    18,459x = 20,119.50 × 20,119.50
  4. Step 4: Simplify right side
    18,459x = 404,794,280.25
  5. Step 5: Solve for x
    x = 404,794,280.25/18,459
  6. Step 6: Final answer
    x = 21,929.37

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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.