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Finding the Third Proportional to 137,076 and 204,477

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Solution

The third proportional to 137,076 and 204,477 is: 305,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076 : 204,477 = 204,477 : x
  2. Step 2: Convert to fraction form
    137,076/204,477 = 204,477/x
  3. Step 3: Cross multiply
    137,076x = 204,477 × 204,477
  4. Step 4: Simplify right side
    137,076x = 41,810,843,529
  5. Step 5: Solve for x
    x = 41,810,843,529/137,076
  6. Step 6: Final answer
    x = 305,019.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.