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Finding the Third Proportional to 18,135 and 38,447

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Solution

The third proportional to 18,135 and 38,447 is: 81,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135 : 38,447 = 38,447 : x
  2. Step 2: Convert to fraction form
    18,135/38,447 = 38,447/x
  3. Step 3: Cross multiply
    18,135x = 38,447 × 38,447
  4. Step 4: Simplify right side
    18,135x = 1,478,171,809
  5. Step 5: Solve for x
    x = 1,478,171,809/18,135
  6. Step 6: Final answer
    x = 81,509.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.