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Finding the Third Proportional to 38,278 and 79,838

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Solution

The third proportional to 38,278 and 79,838 is: 166,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278 : 79,838 = 79,838 : x
  2. Step 2: Convert to fraction form
    38,278/79,838 = 79,838/x
  3. Step 3: Cross multiply
    38,278x = 79,838 × 79,838
  4. Step 4: Simplify right side
    38,278x = 6,374,106,244
  5. Step 5: Solve for x
    x = 6,374,106,244/38,278
  6. Step 6: Final answer
    x = 166,521.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.