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Finding the Third Proportional to 199,006 and 308,148

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Solution

The third proportional to 199,006 and 308,148 is: 477,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006 : 308,148 = 308,148 : x
  2. Step 2: Convert to fraction form
    199,006/308,148 = 308,148/x
  3. Step 3: Cross multiply
    199,006x = 308,148 × 308,148
  4. Step 4: Simplify right side
    199,006x = 94,955,189,904
  5. Step 5: Solve for x
    x = 94,955,189,904/199,006
  6. Step 6: Final answer
    x = 477,147.37

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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.