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Finding the Third Proportional to 332,172 and 515,745

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Solution

The third proportional to 332,172 and 515,745 is: 800,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,172 : 515,745 = 515,745 : x
  2. Step 2: Convert to fraction form
    332,172/515,745 = 515,745/x
  3. Step 3: Cross multiply
    332,172x = 515,745 × 515,745
  4. Step 4: Simplify right side
    332,172x = 265,992,905,025
  5. Step 5: Solve for x
    x = 265,992,905,025/332,172
  6. Step 6: Final answer
    x = 800,768.59

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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.