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Finding the Third Proportional to 312,198 and 415,049.25

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Solution

The third proportional to 312,198 and 415,049.25 is: 551,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198 : 415,049.25 = 415,049.25 : x
  2. Step 2: Convert to fraction form
    312,198/415,049.25 = 415,049.25/x
  3. Step 3: Cross multiply
    312,198x = 415,049.25 × 415,049.25
  4. Step 4: Simplify right side
    312,198x = 172,265,879,925.56
  5. Step 5: Solve for x
    x = 172,265,879,925.56/312,198
  6. Step 6: Final answer
    x = 551,784.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.