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Finding the Third Proportional to 140,544 and 312,256

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Solution

The third proportional to 140,544 and 312,256 is: 693,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,544 : 312,256 = 312,256 : x
  2. Step 2: Convert to fraction form
    140,544/312,256 = 312,256/x
  3. Step 3: Cross multiply
    140,544x = 312,256 × 312,256
  4. Step 4: Simplify right side
    140,544x = 97,503,809,536
  5. Step 5: Solve for x
    x = 97,503,809,536/140,544
  6. Step 6: Final answer
    x = 693,760.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.