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Finding the Third Proportional to 199,568 and 426,808

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Solution

The third proportional to 199,568 and 426,808 is: 912,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,568 : 426,808 = 426,808 : x
  2. Step 2: Convert to fraction form
    199,568/426,808 = 426,808/x
  3. Step 3: Cross multiply
    199,568x = 426,808 × 426,808
  4. Step 4: Simplify right side
    199,568x = 182,165,068,864
  5. Step 5: Solve for x
    x = 182,165,068,864/199,568
  6. Step 6: Final answer
    x = 912,796.99

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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.