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Finding the Third Proportional to 171,038 and 268,305

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Solution

The third proportional to 171,038 and 268,305 is: 420,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,038 : 268,305 = 268,305 : x
  2. Step 2: Convert to fraction form
    171,038/268,305 = 268,305/x
  3. Step 3: Cross multiply
    171,038x = 268,305 × 268,305
  4. Step 4: Simplify right side
    171,038x = 71,987,573,025
  5. Step 5: Solve for x
    x = 71,987,573,025/171,038
  6. Step 6: Final answer
    x = 420,886.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.