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Finding the Third Proportional to 137,635 and 193,815

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Solution

The third proportional to 137,635 and 193,815 is: 272,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,635 : 193,815 = 193,815 : x
  2. Step 2: Convert to fraction form
    137,635/193,815 = 193,815/x
  3. Step 3: Cross multiply
    137,635x = 193,815 × 193,815
  4. Step 4: Simplify right side
    137,635x = 37,564,254,225
  5. Step 5: Solve for x
    x = 37,564,254,225/137,635
  6. Step 6: Final answer
    x = 272,926.61

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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.