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Finding the Third Proportional to 230,431 and 479,255

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Solution

The third proportional to 230,431 and 479,255 is: 996,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,431 : 479,255 = 479,255 : x
  2. Step 2: Convert to fraction form
    230,431/479,255 = 479,255/x
  3. Step 3: Cross multiply
    230,431x = 479,255 × 479,255
  4. Step 4: Simplify right side
    230,431x = 229,685,355,025
  5. Step 5: Solve for x
    x = 229,685,355,025/230,431
  6. Step 6: Final answer
    x = 996,764.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.