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Finding the Third Proportional to 171,570 and 254,869

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Solution

The third proportional to 171,570 and 254,869 is: 378,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,570 : 254,869 = 254,869 : x
  2. Step 2: Convert to fraction form
    171,570/254,869 = 254,869/x
  3. Step 3: Cross multiply
    171,570x = 254,869 × 254,869
  4. Step 4: Simplify right side
    171,570x = 64,958,207,161
  5. Step 5: Solve for x
    x = 64,958,207,161/171,570
  6. Step 6: Final answer
    x = 378,610.52

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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.