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Finding the Third Proportional to 18,346 and 38,078

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Solution

The third proportional to 18,346 and 38,078 is: 79,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346 : 38,078 = 38,078 : x
  2. Step 2: Convert to fraction form
    18,346/38,078 = 38,078/x
  3. Step 3: Cross multiply
    18,346x = 38,078 × 38,078
  4. Step 4: Simplify right side
    18,346x = 1,449,934,084
  5. Step 5: Solve for x
    x = 1,449,934,084/18,346
  6. Step 6: Final answer
    x = 79,032.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.