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Finding the Third Proportional to 157,974 and 251,116

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Solution

The third proportional to 157,974 and 251,116 is: 399,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,974 : 251,116 = 251,116 : x
  2. Step 2: Convert to fraction form
    157,974/251,116 = 251,116/x
  3. Step 3: Cross multiply
    157,974x = 251,116 × 251,116
  4. Step 4: Simplify right side
    157,974x = 63,059,245,456
  5. Step 5: Solve for x
    x = 63,059,245,456/157,974
  6. Step 6: Final answer
    x = 399,174.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.