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Finding the Third Proportional to 166,903 and 256,187

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Solution

The third proportional to 166,903 and 256,187 is: 393,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,903 : 256,187 = 256,187 : x
  2. Step 2: Convert to fraction form
    166,903/256,187 = 256,187/x
  3. Step 3: Cross multiply
    166,903x = 256,187 × 256,187
  4. Step 4: Simplify right side
    166,903x = 65,631,778,969
  5. Step 5: Solve for x
    x = 65,631,778,969/166,903
  6. Step 6: Final answer
    x = 393,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.