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Finding the Third Proportional to 178,274 and 387,268

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Solution

The third proportional to 178,274 and 387,268 is: 841,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,274 : 387,268 = 387,268 : x
  2. Step 2: Convert to fraction form
    178,274/387,268 = 387,268/x
  3. Step 3: Cross multiply
    178,274x = 387,268 × 387,268
  4. Step 4: Simplify right side
    178,274x = 149,976,503,824
  5. Step 5: Solve for x
    x = 149,976,503,824/178,274
  6. Step 6: Final answer
    x = 841,269.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.