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Finding the Third Proportional to 90,537.75 and 140,982.75

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Solution

The third proportional to 90,537.75 and 140,982.75 is: 219,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,537.75 : 140,982.75 = 140,982.75 : x
  2. Step 2: Convert to fraction form
    90,537.75/140,982.75 = 140,982.75/x
  3. Step 3: Cross multiply
    90,537.75x = 140,982.75 × 140,982.75
  4. Step 4: Simplify right side
    90,537.75x = 19,876,135,797.56
  5. Step 5: Solve for x
    x = 19,876,135,797.56/90,537.75
  6. Step 6: Final answer
    x = 219,534.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.