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Finding the Third Proportional to 149,511 and 328,398

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Solution

The third proportional to 149,511 and 328,398 is: 721,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,511 : 328,398 = 328,398 : x
  2. Step 2: Convert to fraction form
    149,511/328,398 = 328,398/x
  3. Step 3: Cross multiply
    149,511x = 328,398 × 328,398
  4. Step 4: Simplify right side
    149,511x = 107,845,246,404
  5. Step 5: Solve for x
    x = 107,845,246,404/149,511
  6. Step 6: Final answer
    x = 721,319.81

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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.