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Finding the Third Proportional to 217,644 and 332,720

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Solution

The third proportional to 217,644 and 332,720 is: 508,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,644 : 332,720 = 332,720 : x
  2. Step 2: Convert to fraction form
    217,644/332,720 = 332,720/x
  3. Step 3: Cross multiply
    217,644x = 332,720 × 332,720
  4. Step 4: Simplify right side
    217,644x = 110,702,598,400
  5. Step 5: Solve for x
    x = 110,702,598,400/217,644
  6. Step 6: Final answer
    x = 508,640.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.