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Finding the Third Proportional to 74,517 and 174,930

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Solution

The third proportional to 74,517 and 174,930 is: 410,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,517 : 174,930 = 174,930 : x
  2. Step 2: Convert to fraction form
    74,517/174,930 = 174,930/x
  3. Step 3: Cross multiply
    74,517x = 174,930 × 174,930
  4. Step 4: Simplify right side
    74,517x = 30,600,504,900
  5. Step 5: Solve for x
    x = 30,600,504,900/74,517
  6. Step 6: Final answer
    x = 410,651.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.