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Finding the Third Proportional to 157,903 and 204,856

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Solution

The third proportional to 157,903 and 204,856 is: 265,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903 : 204,856 = 204,856 : x
  2. Step 2: Convert to fraction form
    157,903/204,856 = 204,856/x
  3. Step 3: Cross multiply
    157,903x = 204,856 × 204,856
  4. Step 4: Simplify right side
    157,903x = 41,965,980,736
  5. Step 5: Solve for x
    x = 41,965,980,736/157,903
  6. Step 6: Final answer
    x = 265,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.