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Finding the Third Proportional to 274,218 and 414,243

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Solution

The third proportional to 274,218 and 414,243 is: 625,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,218 : 414,243 = 414,243 : x
  2. Step 2: Convert to fraction form
    274,218/414,243 = 414,243/x
  3. Step 3: Cross multiply
    274,218x = 414,243 × 414,243
  4. Step 4: Simplify right side
    274,218x = 171,597,263,049
  5. Step 5: Solve for x
    x = 171,597,263,049/274,218
  6. Step 6: Final answer
    x = 625,769.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.