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Finding the Third Proportional to 157,976 and 251,119

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Solution

The third proportional to 157,976 and 251,119 is: 399,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,976 : 251,119 = 251,119 : x
  2. Step 2: Convert to fraction form
    157,976/251,119 = 251,119/x
  3. Step 3: Cross multiply
    157,976x = 251,119 × 251,119
  4. Step 4: Simplify right side
    157,976x = 63,060,752,161
  5. Step 5: Solve for x
    x = 63,060,752,161/157,976
  6. Step 6: Final answer
    x = 399,179.32

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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.