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Finding the Third Proportional to 131,952 and 203,856

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Solution

The third proportional to 131,952 and 203,856 is: 314,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,952 : 203,856 = 203,856 : x
  2. Step 2: Convert to fraction form
    131,952/203,856 = 203,856/x
  3. Step 3: Cross multiply
    131,952x = 203,856 × 203,856
  4. Step 4: Simplify right side
    131,952x = 41,557,268,736
  5. Step 5: Solve for x
    x = 41,557,268,736/131,952
  6. Step 6: Final answer
    x = 314,942.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.