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Finding the Third Proportional to 149,634 and 328,788

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Solution

The third proportional to 149,634 and 328,788 is: 722,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,634 : 328,788 = 328,788 : x
  2. Step 2: Convert to fraction form
    149,634/328,788 = 328,788/x
  3. Step 3: Cross multiply
    149,634x = 328,788 × 328,788
  4. Step 4: Simplify right side
    149,634x = 108,101,548,944
  5. Step 5: Solve for x
    x = 108,101,548,944/149,634
  6. Step 6: Final answer
    x = 722,439.75

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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.