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Finding the Third Proportional to 157,629.75 and 221,185.88

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Solution

The third proportional to 157,629.75 and 221,185.88 is: 310,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,629.75 : 221,185.88 = 221,185.88 : x
  2. Step 2: Convert to fraction form
    157,629.75/221,185.88 = 221,185.88/x
  3. Step 3: Cross multiply
    157,629.75x = 221,185.88 × 221,185.88
  4. Step 4: Simplify right side
    157,629.75x = 48,923,191,299.52
  5. Step 5: Solve for x
    x = 48,923,191,299.52/157,629.75
  6. Step 6: Final answer
    x = 310,367.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.