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Finding the Third Proportional to 174,015 and 379,989

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Solution

The third proportional to 174,015 and 379,989 is: 829,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015 : 379,989 = 379,989 : x
  2. Step 2: Convert to fraction form
    174,015/379,989 = 379,989/x
  3. Step 3: Cross multiply
    174,015x = 379,989 × 379,989
  4. Step 4: Simplify right side
    174,015x = 144,391,640,121
  5. Step 5: Solve for x
    x = 144,391,640,121/174,015
  6. Step 6: Final answer
    x = 829,765.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.