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Finding the Third Proportional to 200,019 and 426,822

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Solution

The third proportional to 200,019 and 426,822 is: 910,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,019 : 426,822 = 426,822 : x
  2. Step 2: Convert to fraction form
    200,019/426,822 = 426,822/x
  3. Step 3: Cross multiply
    200,019x = 426,822 × 426,822
  4. Step 4: Simplify right side
    200,019x = 182,177,019,684
  5. Step 5: Solve for x
    x = 182,177,019,684/200,019
  6. Step 6: Final answer
    x = 910,798.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.