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Finding the Third Proportional to 70,242 and 155,256

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Solution

The third proportional to 70,242 and 155,256 is: 343,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,242 : 155,256 = 155,256 : x
  2. Step 2: Convert to fraction form
    70,242/155,256 = 155,256/x
  3. Step 3: Cross multiply
    70,242x = 155,256 × 155,256
  4. Step 4: Simplify right side
    70,242x = 24,104,425,536
  5. Step 5: Solve for x
    x = 24,104,425,536/70,242
  6. Step 6: Final answer
    x = 343,162.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.