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Finding the Third Proportional to 149,292 and 328,103

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Solution

The third proportional to 149,292 and 328,103 is: 721,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292 : 328,103 = 328,103 : x
  2. Step 2: Convert to fraction form
    149,292/328,103 = 328,103/x
  3. Step 3: Cross multiply
    149,292x = 328,103 × 328,103
  4. Step 4: Simplify right side
    149,292x = 107,651,578,609
  5. Step 5: Solve for x
    x = 107,651,578,609/149,292
  6. Step 6: Final answer
    x = 721,080.69

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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.