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Finding the Third Proportional to 18,018 and 20,538

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Solution

The third proportional to 18,018 and 20,538 is: 23,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,018 : 20,538 = 20,538 : x
  2. Step 2: Convert to fraction form
    18,018/20,538 = 20,538/x
  3. Step 3: Cross multiply
    18,018x = 20,538 × 20,538
  4. Step 4: Simplify right side
    18,018x = 421,809,444
  5. Step 5: Solve for x
    x = 421,809,444/18,018
  6. Step 6: Final answer
    x = 23,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.