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Finding the Third Proportional to 217,948 and 339,233

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Solution

The third proportional to 217,948 and 339,233 is: 528,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,948 : 339,233 = 339,233 : x
  2. Step 2: Convert to fraction form
    217,948/339,233 = 339,233/x
  3. Step 3: Cross multiply
    217,948x = 339,233 × 339,233
  4. Step 4: Simplify right side
    217,948x = 115,079,028,289
  5. Step 5: Solve for x
    x = 115,079,028,289/217,948
  6. Step 6: Final answer
    x = 528,011.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.