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Finding the Third Proportional to 90,136.69 and 140,121.56

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Solution

The third proportional to 90,136.69 and 140,121.56 is: 217,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,136.69 : 140,121.56 = 140,121.56 : x
  2. Step 2: Convert to fraction form
    90,136.69/140,121.56 = 140,121.56/x
  3. Step 3: Cross multiply
    90,136.69x = 140,121.56 × 140,121.56
  4. Step 4: Simplify right side
    90,136.69x = 19,634,052,277.44
  5. Step 5: Solve for x
    x = 19,634,052,277.44/90,136.69
  6. Step 6: Final answer
    x = 217,825.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.