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Finding the Third Proportional to 332,512 and 515,921

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Solution

The third proportional to 332,512 and 515,921 is: 800,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,512 : 515,921 = 515,921 : x
  2. Step 2: Convert to fraction form
    332,512/515,921 = 515,921/x
  3. Step 3: Cross multiply
    332,512x = 515,921 × 515,921
  4. Step 4: Simplify right side
    332,512x = 266,174,478,241
  5. Step 5: Solve for x
    x = 266,174,478,241/332,512
  6. Step 6: Final answer
    x = 800,495.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.