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Finding the Third Proportional to 198,568 and 402,896

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Solution

The third proportional to 198,568 and 402,896 is: 817,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,568 : 402,896 = 402,896 : x
  2. Step 2: Convert to fraction form
    198,568/402,896 = 402,896/x
  3. Step 3: Cross multiply
    198,568x = 402,896 × 402,896
  4. Step 4: Simplify right side
    198,568x = 162,325,186,816
  5. Step 5: Solve for x
    x = 162,325,186,816/198,568
  6. Step 6: Final answer
    x = 817,479.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.