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Finding the Third Proportional to 332,129 and 515,690

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Solution

The third proportional to 332,129 and 515,690 is: 800,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,129 : 515,690 = 515,690 : x
  2. Step 2: Convert to fraction form
    332,129/515,690 = 515,690/x
  3. Step 3: Cross multiply
    332,129x = 515,690 × 515,690
  4. Step 4: Simplify right side
    332,129x = 265,936,176,100
  5. Step 5: Solve for x
    x = 265,936,176,100/332,129
  6. Step 6: Final answer
    x = 800,701.46

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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.