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Finding the Third Proportional to 117,288 and 180,990

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Solution

The third proportional to 117,288 and 180,990 is: 279,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 180,990 = 180,990 : x
  2. Step 2: Convert to fraction form
    117,288/180,990 = 180,990/x
  3. Step 3: Cross multiply
    117,288x = 180,990 × 180,990
  4. Step 4: Simplify right side
    117,288x = 32,757,380,100
  5. Step 5: Solve for x
    x = 32,757,380,100/117,288
  6. Step 6: Final answer
    x = 279,290.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.