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Finding the Third Proportional to 38,980 and 83,278

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Solution

The third proportional to 38,980 and 83,278 is: 177,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980 : 83,278 = 83,278 : x
  2. Step 2: Convert to fraction form
    38,980/83,278 = 83,278/x
  3. Step 3: Cross multiply
    38,980x = 83,278 × 83,278
  4. Step 4: Simplify right side
    38,980x = 6,935,225,284
  5. Step 5: Solve for x
    x = 6,935,225,284/38,980
  6. Step 6: Final answer
    x = 177,917.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.