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Finding the Third Proportional to 170,658 and 263,286

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Solution

The third proportional to 170,658 and 263,286 is: 406,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,658 : 263,286 = 263,286 : x
  2. Step 2: Convert to fraction form
    170,658/263,286 = 263,286/x
  3. Step 3: Cross multiply
    170,658x = 263,286 × 263,286
  4. Step 4: Simplify right side
    170,658x = 69,319,517,796
  5. Step 5: Solve for x
    x = 69,319,517,796/170,658
  6. Step 6: Final answer
    x = 406,189.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.