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Finding the Third Proportional to 332,221.50 and 515,418

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Solution

The third proportional to 332,221.50 and 515,418 is: 799,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,221.50 : 515,418 = 515,418 : x
  2. Step 2: Convert to fraction form
    332,221.50/515,418 = 515,418/x
  3. Step 3: Cross multiply
    332,221.50x = 515,418 × 515,418
  4. Step 4: Simplify right side
    332,221.50x = 265,655,714,724
  5. Step 5: Solve for x
    x = 265,655,714,724/332,221.50
  6. Step 6: Final answer
    x = 799,634.32

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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.