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Finding the Third Proportional to 205,989 and 434,121

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Solution

The third proportional to 205,989 and 434,121 is: 914,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,989 : 434,121 = 434,121 : x
  2. Step 2: Convert to fraction form
    205,989/434,121 = 434,121/x
  3. Step 3: Cross multiply
    205,989x = 434,121 × 434,121
  4. Step 4: Simplify right side
    205,989x = 188,461,042,641
  5. Step 5: Solve for x
    x = 188,461,042,641/205,989
  6. Step 6: Final answer
    x = 914,908.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.