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Finding the Third Proportional to 174,760 and 374,420

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Solution

The third proportional to 174,760 and 374,420 is: 802,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,760 : 374,420 = 374,420 : x
  2. Step 2: Convert to fraction form
    174,760/374,420 = 374,420/x
  3. Step 3: Cross multiply
    174,760x = 374,420 × 374,420
  4. Step 4: Simplify right side
    174,760x = 140,190,336,400
  5. Step 5: Solve for x
    x = 140,190,336,400/174,760
  6. Step 6: Final answer
    x = 802,187.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.