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Finding the Third Proportional to 174,974 and 387,266

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Solution

The third proportional to 174,974 and 387,266 is: 857,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,974 : 387,266 = 387,266 : x
  2. Step 2: Convert to fraction form
    174,974/387,266 = 387,266/x
  3. Step 3: Cross multiply
    174,974x = 387,266 × 387,266
  4. Step 4: Simplify right side
    174,974x = 149,974,954,756
  5. Step 5: Solve for x
    x = 149,974,954,756/174,974
  6. Step 6: Final answer
    x = 857,127.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.