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Finding the Third Proportional to 199,830 and 418,134

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Solution

The third proportional to 199,830 and 418,134 is: 874,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830 : 418,134 = 418,134 : x
  2. Step 2: Convert to fraction form
    199,830/418,134 = 418,134/x
  3. Step 3: Cross multiply
    199,830x = 418,134 × 418,134
  4. Step 4: Simplify right side
    199,830x = 174,836,041,956
  5. Step 5: Solve for x
    x = 174,836,041,956/199,830
  6. Step 6: Final answer
    x = 874,923.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.