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Finding the Third Proportional to 199,040 and 308,176

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Solution

The third proportional to 199,040 and 308,176 is: 477,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,040 : 308,176 = 308,176 : x
  2. Step 2: Convert to fraction form
    199,040/308,176 = 308,176/x
  3. Step 3: Cross multiply
    199,040x = 308,176 × 308,176
  4. Step 4: Simplify right side
    199,040x = 94,972,446,976
  5. Step 5: Solve for x
    x = 94,972,446,976/199,040
  6. Step 6: Final answer
    x = 477,152.57

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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.