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Finding the Third Proportional to 137,611.50 and 193,786.13

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Solution

The third proportional to 137,611.50 and 193,786.13 is: 272,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611.50 : 193,786.13 = 193,786.13 : x
  2. Step 2: Convert to fraction form
    137,611.50/193,786.13 = 193,786.13/x
  3. Step 3: Cross multiply
    137,611.50x = 193,786.13 × 193,786.13
  4. Step 4: Simplify right side
    137,611.50x = 37,553,062,242.52
  5. Step 5: Solve for x
    x = 37,553,062,242.52/137,611.50
  6. Step 6: Final answer
    x = 272,891.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.