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Finding the Third Proportional to 74,540.25 and 149,019.75

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Solution

The third proportional to 74,540.25 and 149,019.75 is: 297,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,540.25 : 149,019.75 = 149,019.75 : x
  2. Step 2: Convert to fraction form
    74,540.25/149,019.75 = 149,019.75/x
  3. Step 3: Cross multiply
    74,540.25x = 149,019.75 × 149,019.75
  4. Step 4: Simplify right side
    74,540.25x = 22,206,885,890.06
  5. Step 5: Solve for x
    x = 22,206,885,890.06/74,540.25
  6. Step 6: Final answer
    x = 297,918.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.