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Finding the Third Proportional to 172,367 and 257,514

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Solution

The third proportional to 172,367 and 257,514 is: 384,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,367 : 257,514 = 257,514 : x
  2. Step 2: Convert to fraction form
    172,367/257,514 = 257,514/x
  3. Step 3: Cross multiply
    172,367x = 257,514 × 257,514
  4. Step 4: Simplify right side
    172,367x = 66,313,460,196
  5. Step 5: Solve for x
    x = 66,313,460,196/172,367
  6. Step 6: Final answer
    x = 384,722.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.