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Finding the Third Proportional to 442,986 and 664,340

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Solution

The third proportional to 442,986 and 664,340 is: 996,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,986 : 664,340 = 664,340 : x
  2. Step 2: Convert to fraction form
    442,986/664,340 = 664,340/x
  3. Step 3: Cross multiply
    442,986x = 664,340 × 664,340
  4. Step 4: Simplify right side
    442,986x = 441,347,635,600
  5. Step 5: Solve for x
    x = 441,347,635,600/442,986
  6. Step 6: Final answer
    x = 996,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.