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Finding the Third Proportional to 18,278 and 39,406

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Solution

The third proportional to 18,278 and 39,406 is: 84,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278 : 39,406 = 39,406 : x
  2. Step 2: Convert to fraction form
    18,278/39,406 = 39,406/x
  3. Step 3: Cross multiply
    18,278x = 39,406 × 39,406
  4. Step 4: Simplify right side
    18,278x = 1,552,832,836
  5. Step 5: Solve for x
    x = 1,552,832,836/18,278
  6. Step 6: Final answer
    x = 84,956.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.