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Finding the Third Proportional to 18,489 and 28,447

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Solution

The third proportional to 18,489 and 28,447 is: 43,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 28,447 = 28,447 : x
  2. Step 2: Convert to fraction form
    18,489/28,447 = 28,447/x
  3. Step 3: Cross multiply
    18,489x = 28,447 × 28,447
  4. Step 4: Simplify right side
    18,489x = 809,231,809
  5. Step 5: Solve for x
    x = 809,231,809/18,489
  6. Step 6: Final answer
    x = 43,768.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.