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Finding the Third Proportional to 70,986 and 156,375

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Solution

The third proportional to 70,986 and 156,375 is: 344,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,986 : 156,375 = 156,375 : x
  2. Step 2: Convert to fraction form
    70,986/156,375 = 156,375/x
  3. Step 3: Cross multiply
    70,986x = 156,375 × 156,375
  4. Step 4: Simplify right side
    70,986x = 24,453,140,625
  5. Step 5: Solve for x
    x = 24,453,140,625/70,986
  6. Step 6: Final answer
    x = 344,478.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.