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Finding the Third Proportional to 137,208 and 205,236

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Solution

The third proportional to 137,208 and 205,236 is: 306,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208 : 205,236 = 205,236 : x
  2. Step 2: Convert to fraction form
    137,208/205,236 = 205,236/x
  3. Step 3: Cross multiply
    137,208x = 205,236 × 205,236
  4. Step 4: Simplify right side
    137,208x = 42,121,815,696
  5. Step 5: Solve for x
    x = 42,121,815,696/137,208
  6. Step 6: Final answer
    x = 306,992.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.