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Finding the Third Proportional to 230,380 and 343,794

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Solution

The third proportional to 230,380 and 343,794 is: 513,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,380 : 343,794 = 343,794 : x
  2. Step 2: Convert to fraction form
    230,380/343,794 = 343,794/x
  3. Step 3: Cross multiply
    230,380x = 343,794 × 343,794
  4. Step 4: Simplify right side
    230,380x = 118,194,314,436
  5. Step 5: Solve for x
    x = 118,194,314,436/230,380
  6. Step 6: Final answer
    x = 513,040.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.