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Finding the Third Proportional to 131,456 and 203,928

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Solution

The third proportional to 131,456 and 203,928 is: 316,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,456 : 203,928 = 203,928 : x
  2. Step 2: Convert to fraction form
    131,456/203,928 = 203,928/x
  3. Step 3: Cross multiply
    131,456x = 203,928 × 203,928
  4. Step 4: Simplify right side
    131,456x = 41,586,629,184
  5. Step 5: Solve for x
    x = 41,586,629,184/131,456
  6. Step 6: Final answer
    x = 316,353.98

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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.