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Finding the Third Proportional to 170,256 and 257,751

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Solution

The third proportional to 170,256 and 257,751 is: 390,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,256 : 257,751 = 257,751 : x
  2. Step 2: Convert to fraction form
    170,256/257,751 = 257,751/x
  3. Step 3: Cross multiply
    170,256x = 257,751 × 257,751
  4. Step 4: Simplify right side
    170,256x = 66,435,578,001
  5. Step 5: Solve for x
    x = 66,435,578,001/170,256
  6. Step 6: Final answer
    x = 390,209.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.