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Finding the Third Proportional to 137,182 and 206,138

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Solution

The third proportional to 137,182 and 206,138 is: 309,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,182 : 206,138 = 206,138 : x
  2. Step 2: Convert to fraction form
    137,182/206,138 = 206,138/x
  3. Step 3: Cross multiply
    137,182x = 206,138 × 206,138
  4. Step 4: Simplify right side
    137,182x = 42,492,875,044
  5. Step 5: Solve for x
    x = 42,492,875,044/137,182
  6. Step 6: Final answer
    x = 309,755.47

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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.