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Finding the Third Proportional to 137,178 and 207,227

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Solution

The third proportional to 137,178 and 207,227 is: 313,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178 : 207,227 = 207,227 : x
  2. Step 2: Convert to fraction form
    137,178/207,227 = 207,227/x
  3. Step 3: Cross multiply
    137,178x = 207,227 × 207,227
  4. Step 4: Simplify right side
    137,178x = 42,943,029,529
  5. Step 5: Solve for x
    x = 42,943,029,529/137,178
  6. Step 6: Final answer
    x = 313,046.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.