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Finding the Third Proportional to 83,178 and 178,268

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Solution

The third proportional to 83,178 and 178,268 is: 382,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178 : 178,268 = 178,268 : x
  2. Step 2: Convert to fraction form
    83,178/178,268 = 178,268/x
  3. Step 3: Cross multiply
    83,178x = 178,268 × 178,268
  4. Step 4: Simplify right side
    83,178x = 31,779,479,824
  5. Step 5: Solve for x
    x = 31,779,479,824/83,178
  6. Step 6: Final answer
    x = 382,065.93

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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.