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Finding the Third Proportional to 198,081 and 426,962

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Solution

The third proportional to 198,081 and 426,962 is: 920,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,081 : 426,962 = 426,962 : x
  2. Step 2: Convert to fraction form
    198,081/426,962 = 426,962/x
  3. Step 3: Cross multiply
    198,081x = 426,962 × 426,962
  4. Step 4: Simplify right side
    198,081x = 182,296,549,444
  5. Step 5: Solve for x
    x = 182,296,549,444/198,081
  6. Step 6: Final answer
    x = 920,313.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.