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Finding the Third Proportional to 204,841 and 426,032

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Solution

The third proportional to 204,841 and 426,032 is: 886,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,841 : 426,032 = 426,032 : x
  2. Step 2: Convert to fraction form
    204,841/426,032 = 426,032/x
  3. Step 3: Cross multiply
    204,841x = 426,032 × 426,032
  4. Step 4: Simplify right side
    204,841x = 181,503,265,024
  5. Step 5: Solve for x
    x = 181,503,265,024/204,841
  6. Step 6: Final answer
    x = 886,069.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.