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Finding the Third Proportional to 157,795 and 221,950

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Solution

The third proportional to 157,795 and 221,950 is: 312,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,795 : 221,950 = 221,950 : x
  2. Step 2: Convert to fraction form
    157,795/221,950 = 221,950/x
  3. Step 3: Cross multiply
    157,795x = 221,950 × 221,950
  4. Step 4: Simplify right side
    157,795x = 49,261,802,500
  5. Step 5: Solve for x
    x = 49,261,802,500/157,795
  6. Step 6: Final answer
    x = 312,188.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.