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Finding the Third Proportional to 329,188 and 491,638

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Solution

The third proportional to 329,188 and 491,638 is: 734,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,188 : 491,638 = 491,638 : x
  2. Step 2: Convert to fraction form
    329,188/491,638 = 491,638/x
  3. Step 3: Cross multiply
    329,188x = 491,638 × 491,638
  4. Step 4: Simplify right side
    329,188x = 241,707,923,044
  5. Step 5: Solve for x
    x = 241,707,923,044/329,188
  6. Step 6: Final answer
    x = 734,254.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.