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Finding the Third Proportional to 79,975 and 185,145

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Solution

The third proportional to 79,975 and 185,145 is: 428,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,975 : 185,145 = 185,145 : x
  2. Step 2: Convert to fraction form
    79,975/185,145 = 185,145/x
  3. Step 3: Cross multiply
    79,975x = 185,145 × 185,145
  4. Step 4: Simplify right side
    79,975x = 34,278,671,025
  5. Step 5: Solve for x
    x = 34,278,671,025/79,975
  6. Step 6: Final answer
    x = 428,617.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.