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Finding the Third Proportional to 332,344 and 515,584.50

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Solution

The third proportional to 332,344 and 515,584.50 is: 799,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,344 : 515,584.50 = 515,584.50 : x
  2. Step 2: Convert to fraction form
    332,344/515,584.50 = 515,584.50/x
  3. Step 3: Cross multiply
    332,344x = 515,584.50 × 515,584.50
  4. Step 4: Simplify right side
    332,344x = 265,827,376,640.25
  5. Step 5: Solve for x
    x = 265,827,376,640.25/332,344
  6. Step 6: Final answer
    x = 799,856.10

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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.