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Finding the Third Proportional to 418,180.22 and 664,650.56

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Solution

The third proportional to 418,180.22 and 664,650.56 is: 1,056,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,180.22 : 664,650.56 = 664,650.56 : x
  2. Step 2: Convert to fraction form
    418,180.22/664,650.56 = 664,650.56/x
  3. Step 3: Cross multiply
    418,180.22x = 664,650.56 × 664,650.56
  4. Step 4: Simplify right side
    418,180.22x = 441,760,370,231.57
  5. Step 5: Solve for x
    x = 441,760,370,231.57/418,180.22
  6. Step 6: Final answer
    x = 1,056,387.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.