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Finding the Third Proportional to 199,620 and 433,145

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Solution

The third proportional to 199,620 and 433,145 is: 939,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,620 : 433,145 = 433,145 : x
  2. Step 2: Convert to fraction form
    199,620/433,145 = 433,145/x
  3. Step 3: Cross multiply
    199,620x = 433,145 × 433,145
  4. Step 4: Simplify right side
    199,620x = 187,614,591,025
  5. Step 5: Solve for x
    x = 187,614,591,025/199,620
  6. Step 6: Final answer
    x = 939,858.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.