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Finding the Third Proportional to 200,918 and 442,723

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Solution

The third proportional to 200,918 and 442,723 is: 975,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918 : 442,723 = 442,723 : x
  2. Step 2: Convert to fraction form
    200,918/442,723 = 442,723/x
  3. Step 3: Cross multiply
    200,918x = 442,723 × 442,723
  4. Step 4: Simplify right side
    200,918x = 196,003,654,729
  5. Step 5: Solve for x
    x = 196,003,654,729/200,918
  6. Step 6: Final answer
    x = 975,540.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.