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Finding the Third Proportional to 78,651.75 and 168,375

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Solution

The third proportional to 78,651.75 and 168,375 is: 360,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651.75 : 168,375 = 168,375 : x
  2. Step 2: Convert to fraction form
    78,651.75/168,375 = 168,375/x
  3. Step 3: Cross multiply
    78,651.75x = 168,375 × 168,375
  4. Step 4: Simplify right side
    78,651.75x = 28,350,140,625
  5. Step 5: Solve for x
    x = 28,350,140,625/78,651.75
  6. Step 6: Final answer
    x = 360,451.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.