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Finding the Third Proportional to 199,099 and 308,279

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Solution

The third proportional to 199,099 and 308,279 is: 477,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,099 : 308,279 = 308,279 : x
  2. Step 2: Convert to fraction form
    199,099/308,279 = 308,279/x
  3. Step 3: Cross multiply
    199,099x = 308,279 × 308,279
  4. Step 4: Simplify right side
    199,099x = 95,035,941,841
  5. Step 5: Solve for x
    x = 95,035,941,841/199,099
  6. Step 6: Final answer
    x = 477,330.08

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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.