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Finding the Third Proportional to 78,469.50 and 169,975

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Solution

The third proportional to 78,469.50 and 169,975 is: 368,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.50 : 169,975 = 169,975 : x
  2. Step 2: Convert to fraction form
    78,469.50/169,975 = 169,975/x
  3. Step 3: Cross multiply
    78,469.50x = 169,975 × 169,975
  4. Step 4: Simplify right side
    78,469.50x = 28,891,500,625
  5. Step 5: Solve for x
    x = 28,891,500,625/78,469.50
  6. Step 6: Final answer
    x = 368,187.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.