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Finding the Third Proportional to 332,640 and 521,214

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Solution

The third proportional to 332,640 and 521,214 is: 816,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,640 : 521,214 = 521,214 : x
  2. Step 2: Convert to fraction form
    332,640/521,214 = 521,214/x
  3. Step 3: Cross multiply
    332,640x = 521,214 × 521,214
  4. Step 4: Simplify right side
    332,640x = 271,664,033,796
  5. Step 5: Solve for x
    x = 271,664,033,796/332,640
  6. Step 6: Final answer
    x = 816,690.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.