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Finding the Third Proportional to 131,383 and 203,200

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Solution

The third proportional to 131,383 and 203,200 is: 314,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,383 : 203,200 = 203,200 : x
  2. Step 2: Convert to fraction form
    131,383/203,200 = 203,200/x
  3. Step 3: Cross multiply
    131,383x = 203,200 × 203,200
  4. Step 4: Simplify right side
    131,383x = 41,290,240,000
  5. Step 5: Solve for x
    x = 41,290,240,000/131,383
  6. Step 6: Final answer
    x = 314,273.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.