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Finding the Third Proportional to 274,959 and 414,195.75

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Solution

The third proportional to 274,959 and 414,195.75 is: 623,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,959 : 414,195.75 = 414,195.75 : x
  2. Step 2: Convert to fraction form
    274,959/414,195.75 = 414,195.75/x
  3. Step 3: Cross multiply
    274,959x = 414,195.75 × 414,195.75
  4. Step 4: Simplify right side
    274,959x = 171,558,119,318.06
  5. Step 5: Solve for x
    x = 171,558,119,318.06/274,959
  6. Step 6: Final answer
    x = 623,940.73

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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.