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Finding the Third Proportional to 192,906 and 423,164.25

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Solution

The third proportional to 192,906 and 423,164.25 is: 928,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,906 : 423,164.25 = 423,164.25 : x
  2. Step 2: Convert to fraction form
    192,906/423,164.25 = 423,164.25/x
  3. Step 3: Cross multiply
    192,906x = 423,164.25 × 423,164.25
  4. Step 4: Simplify right side
    192,906x = 179,067,982,478.06
  5. Step 5: Solve for x
    x = 179,067,982,478.06/192,906
  6. Step 6: Final answer
    x = 928,265.49

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