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Finding the Third Proportional to 198,093 and 426,987

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Solution

The third proportional to 198,093 and 426,987 is: 920,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,093 : 426,987 = 426,987 : x
  2. Step 2: Convert to fraction form
    198,093/426,987 = 426,987/x
  3. Step 3: Cross multiply
    198,093x = 426,987 × 426,987
  4. Step 4: Simplify right side
    198,093x = 182,317,898,169
  5. Step 5: Solve for x
    x = 182,317,898,169/198,093
  6. Step 6: Final answer
    x = 920,365.17

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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.