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Finding the Third Proportional to 198,340 and 435,992

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Solution

The third proportional to 198,340 and 435,992 is: 958,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,340 : 435,992 = 435,992 : x
  2. Step 2: Convert to fraction form
    198,340/435,992 = 435,992/x
  3. Step 3: Cross multiply
    198,340x = 435,992 × 435,992
  4. Step 4: Simplify right side
    198,340x = 190,089,024,064
  5. Step 5: Solve for x
    x = 190,089,024,064/198,340
  6. Step 6: Final answer
    x = 958,399.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.