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Finding the Third Proportional to 84,482 and 178,669

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Solution

The third proportional to 84,482 and 178,669 is: 377,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,482 : 178,669 = 178,669 : x
  2. Step 2: Convert to fraction form
    84,482/178,669 = 178,669/x
  3. Step 3: Cross multiply
    84,482x = 178,669 × 178,669
  4. Step 4: Simplify right side
    84,482x = 31,922,611,561
  5. Step 5: Solve for x
    x = 31,922,611,561/84,482
  6. Step 6: Final answer
    x = 377,862.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.