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Finding the Third Proportional to 171,170 and 251,908

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Solution

The third proportional to 171,170 and 251,908 is: 370,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,170 : 251,908 = 251,908 : x
  2. Step 2: Convert to fraction form
    171,170/251,908 = 251,908/x
  3. Step 3: Cross multiply
    171,170x = 251,908 × 251,908
  4. Step 4: Simplify right side
    171,170x = 63,457,640,464
  5. Step 5: Solve for x
    x = 63,457,640,464/171,170
  6. Step 6: Final answer
    x = 370,728.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.