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Finding the Third Proportional to 199,488 and 428,208

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Solution

The third proportional to 199,488 and 428,208 is: 919,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 428,208 = 428,208 : x
  2. Step 2: Convert to fraction form
    199,488/428,208 = 428,208/x
  3. Step 3: Cross multiply
    199,488x = 428,208 × 428,208
  4. Step 4: Simplify right side
    199,488x = 183,362,091,264
  5. Step 5: Solve for x
    x = 183,362,091,264/199,488
  6. Step 6: Final answer
    x = 919,163.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.