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Finding the Third Proportional to 192,914.50 and 423,180

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Solution

The third proportional to 192,914.50 and 423,180 is: 928,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,914.50 : 423,180 = 423,180 : x
  2. Step 2: Convert to fraction form
    192,914.50/423,180 = 423,180/x
  3. Step 3: Cross multiply
    192,914.50x = 423,180 × 423,180
  4. Step 4: Simplify right side
    192,914.50x = 179,081,312,400
  5. Step 5: Solve for x
    x = 179,081,312,400/192,914.50
  6. Step 6: Final answer
    x = 928,293.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.