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Finding the Third Proportional to 90,236.25 and 135,030.38

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Solution

The third proportional to 90,236.25 and 135,030.38 is: 202,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,236.25 : 135,030.38 = 135,030.38 : x
  2. Step 2: Convert to fraction form
    90,236.25/135,030.38 = 135,030.38/x
  3. Step 3: Cross multiply
    90,236.25x = 135,030.38 × 135,030.38
  4. Step 4: Simplify right side
    90,236.25x = 18,233,202,172.64
  5. Step 5: Solve for x
    x = 18,233,202,172.64/90,236.25
  6. Step 6: Final answer
    x = 202,060.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.