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Finding the Third Proportional to 71,669 and 156,975

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Solution

The third proportional to 71,669 and 156,975 is: 343,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,669 : 156,975 = 156,975 : x
  2. Step 2: Convert to fraction form
    71,669/156,975 = 156,975/x
  3. Step 3: Cross multiply
    71,669x = 156,975 × 156,975
  4. Step 4: Simplify right side
    71,669x = 24,641,150,625
  5. Step 5: Solve for x
    x = 24,641,150,625/71,669
  6. Step 6: Final answer
    x = 343,818.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.