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Finding the Third Proportional to 78,188 and 168,544

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Solution

The third proportional to 78,188 and 168,544 is: 363,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188 : 168,544 = 168,544 : x
  2. Step 2: Convert to fraction form
    78,188/168,544 = 168,544/x
  3. Step 3: Cross multiply
    78,188x = 168,544 × 168,544
  4. Step 4: Simplify right side
    78,188x = 28,407,079,936
  5. Step 5: Solve for x
    x = 28,407,079,936/78,188
  6. Step 6: Final answer
    x = 363,317.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.