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Finding the Third Proportional to 200,822 and 434,704

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Solution

The third proportional to 200,822 and 434,704 is: 940,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,822 : 434,704 = 434,704 : x
  2. Step 2: Convert to fraction form
    200,822/434,704 = 434,704/x
  3. Step 3: Cross multiply
    200,822x = 434,704 × 434,704
  4. Step 4: Simplify right side
    200,822x = 188,967,567,616
  5. Step 5: Solve for x
    x = 188,967,567,616/200,822
  6. Step 6: Final answer
    x = 940,970.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.