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Finding the Third Proportional to 89,540.81 and 196,304.06

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Solution

The third proportional to 89,540.81 and 196,304.06 is: 430,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,540.81 : 196,304.06 = 196,304.06 : x
  2. Step 2: Convert to fraction form
    89,540.81/196,304.06 = 196,304.06/x
  3. Step 3: Cross multiply
    89,540.81x = 196,304.06 × 196,304.06
  4. Step 4: Simplify right side
    89,540.81x = 38,535,284,954.00
  5. Step 5: Solve for x
    x = 38,535,284,954.00/89,540.81
  6. Step 6: Final answer
    x = 430,365.59

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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.