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Finding the Third Proportional to 137,084 and 204,485

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Solution

The third proportional to 137,084 and 204,485 is: 305,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,084 : 204,485 = 204,485 : x
  2. Step 2: Convert to fraction form
    137,084/204,485 = 204,485/x
  3. Step 3: Cross multiply
    137,084x = 204,485 × 204,485
  4. Step 4: Simplify right side
    137,084x = 41,814,115,225
  5. Step 5: Solve for x
    x = 41,814,115,225/137,084
  6. Step 6: Final answer
    x = 305,025.50

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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.