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Finding the Third Proportional to 90,396 and 135,047.25

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Solution

The third proportional to 90,396 and 135,047.25 is: 201,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,396 : 135,047.25 = 135,047.25 : x
  2. Step 2: Convert to fraction form
    90,396/135,047.25 = 135,047.25/x
  3. Step 3: Cross multiply
    90,396x = 135,047.25 × 135,047.25
  4. Step 4: Simplify right side
    90,396x = 18,237,759,732.56
  5. Step 5: Solve for x
    x = 18,237,759,732.56/90,396
  6. Step 6: Final answer
    x = 201,754.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.