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Finding the Third Proportional to 217,632 and 479,400

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Solution

The third proportional to 217,632 and 479,400 is: 1,056,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,632 : 479,400 = 479,400 : x
  2. Step 2: Convert to fraction form
    217,632/479,400 = 479,400/x
  3. Step 3: Cross multiply
    217,632x = 479,400 × 479,400
  4. Step 4: Simplify right side
    217,632x = 229,824,360,000
  5. Step 5: Solve for x
    x = 229,824,360,000/217,632
  6. Step 6: Final answer
    x = 1,056,022.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.