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Finding the Third Proportional to 81,483 and 178,278

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Solution

The third proportional to 81,483 and 178,278 is: 390,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483 : 178,278 = 178,278 : x
  2. Step 2: Convert to fraction form
    81,483/178,278 = 178,278/x
  3. Step 3: Cross multiply
    81,483x = 178,278 × 178,278
  4. Step 4: Simplify right side
    81,483x = 31,783,045,284
  5. Step 5: Solve for x
    x = 31,783,045,284/81,483
  6. Step 6: Final answer
    x = 390,057.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.