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Finding the Third Proportional to 199,828 and 428,000

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Solution

The third proportional to 199,828 and 428,000 is: 916,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828 : 428,000 = 428,000 : x
  2. Step 2: Convert to fraction form
    199,828/428,000 = 428,000/x
  3. Step 3: Cross multiply
    199,828x = 428,000 × 428,000
  4. Step 4: Simplify right side
    199,828x = 183,184,000,000
  5. Step 5: Solve for x
    x = 183,184,000,000/199,828
  6. Step 6: Final answer
    x = 916,708.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.