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Finding the Third Proportional to 271,474.88 and 356,992.31

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Solution

The third proportional to 271,474.88 and 356,992.31 is: 469,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474.88 : 356,992.31 = 356,992.31 : x
  2. Step 2: Convert to fraction form
    271,474.88/356,992.31 = 356,992.31/x
  3. Step 3: Cross multiply
    271,474.88x = 356,992.31 × 356,992.31
  4. Step 4: Simplify right side
    271,474.88x = 127,443,511,184.10
  5. Step 5: Solve for x
    x = 127,443,511,184.10/271,474.88
  6. Step 6: Final answer
    x = 469,448.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.