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Finding the Third Proportional to 131,305 and 203,702

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Solution

The third proportional to 131,305 and 203,702 is: 316,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305 : 203,702 = 203,702 : x
  2. Step 2: Convert to fraction form
    131,305/203,702 = 203,702/x
  3. Step 3: Cross multiply
    131,305x = 203,702 × 203,702
  4. Step 4: Simplify right side
    131,305x = 41,494,504,804
  5. Step 5: Solve for x
    x = 41,494,504,804/131,305
  6. Step 6: Final answer
    x = 316,016.18

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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.