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Finding the Third Proportional to 205.31 and 468.09

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Solution

The third proportional to 205.31 and 468.09 is: 1,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 468.09 = 468.09 : x
  2. Step 2: Convert to fraction form
    205.31/468.09 = 468.09/x
  3. Step 3: Cross multiply
    205.31x = 468.09 × 468.09
  4. Step 4: Simplify right side
    205.31x = 219,111.76
  5. Step 5: Solve for x
    x = 219,111.76/205.31
  6. Step 6: Final answer
    x = 1,067.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.