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Finding the Third Proportional to 170,716 and 256,625

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Solution

The third proportional to 170,716 and 256,625 is: 385,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,716 : 256,625 = 256,625 : x
  2. Step 2: Convert to fraction form
    170,716/256,625 = 256,625/x
  3. Step 3: Cross multiply
    170,716x = 256,625 × 256,625
  4. Step 4: Simplify right side
    170,716x = 65,856,390,625
  5. Step 5: Solve for x
    x = 65,856,390,625/170,716
  6. Step 6: Final answer
    x = 385,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.