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Finding the Third Proportional to 199,092 and 308,268

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Solution

The third proportional to 199,092 and 308,268 is: 477,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092 : 308,268 = 308,268 : x
  2. Step 2: Convert to fraction form
    199,092/308,268 = 308,268/x
  3. Step 3: Cross multiply
    199,092x = 308,268 × 308,268
  4. Step 4: Simplify right side
    199,092x = 95,029,159,824
  5. Step 5: Solve for x
    x = 95,029,159,824/199,092
  6. Step 6: Final answer
    x = 477,312.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.