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Finding the Third Proportional to 205,989 and 275,895

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Solution

The third proportional to 205,989 and 275,895 is: 369,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,989 : 275,895 = 275,895 : x
  2. Step 2: Convert to fraction form
    205,989/275,895 = 275,895/x
  3. Step 3: Cross multiply
    205,989x = 275,895 × 275,895
  4. Step 4: Simplify right side
    205,989x = 76,118,051,025
  5. Step 5: Solve for x
    x = 76,118,051,025/205,989
  6. Step 6: Final answer
    x = 369,524.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.