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Finding the Third Proportional to 217,344 and 323,712

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Solution

The third proportional to 217,344 and 323,712 is: 482,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344 : 323,712 = 323,712 : x
  2. Step 2: Convert to fraction form
    217,344/323,712 = 323,712/x
  3. Step 3: Cross multiply
    217,344x = 323,712 × 323,712
  4. Step 4: Simplify right side
    217,344x = 104,789,458,944
  5. Step 5: Solve for x
    x = 104,789,458,944/217,344
  6. Step 6: Final answer
    x = 482,136.42

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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.