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Finding the Third Proportional to 79,355 and 122,975

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Solution

The third proportional to 79,355 and 122,975 is: 190,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,355 : 122,975 = 122,975 : x
  2. Step 2: Convert to fraction form
    79,355/122,975 = 122,975/x
  3. Step 3: Cross multiply
    79,355x = 122,975 × 122,975
  4. Step 4: Simplify right side
    79,355x = 15,122,850,625
  5. Step 5: Solve for x
    x = 15,122,850,625/79,355
  6. Step 6: Final answer
    x = 190,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.