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Finding the Third Proportional to 149,384 and 328,208

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Solution

The third proportional to 149,384 and 328,208 is: 721,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,384 : 328,208 = 328,208 : x
  2. Step 2: Convert to fraction form
    149,384/328,208 = 328,208/x
  3. Step 3: Cross multiply
    149,384x = 328,208 × 328,208
  4. Step 4: Simplify right side
    149,384x = 107,720,491,264
  5. Step 5: Solve for x
    x = 107,720,491,264/149,384
  6. Step 6: Final answer
    x = 721,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.