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Finding the Third Proportional to 180,738 and 392,589

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Solution

The third proportional to 180,738 and 392,589 is: 852,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,738 : 392,589 = 392,589 : x
  2. Step 2: Convert to fraction form
    180,738/392,589 = 392,589/x
  3. Step 3: Cross multiply
    180,738x = 392,589 × 392,589
  4. Step 4: Simplify right side
    180,738x = 154,126,122,921
  5. Step 5: Solve for x
    x = 154,126,122,921/180,738
  6. Step 6: Final answer
    x = 852,759.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.