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Finding the Third Proportional to 149,790 and 325,830

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Solution

The third proportional to 149,790 and 325,830 is: 708,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,790 : 325,830 = 325,830 : x
  2. Step 2: Convert to fraction form
    149,790/325,830 = 325,830/x
  3. Step 3: Cross multiply
    149,790x = 325,830 × 325,830
  4. Step 4: Simplify right side
    149,790x = 106,165,188,900
  5. Step 5: Solve for x
    x = 106,165,188,900/149,790
  6. Step 6: Final answer
    x = 708,760.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.