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Finding the Third Proportional to 136,060 and 204,610

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Solution

The third proportional to 136,060 and 204,610 is: 307,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,060 : 204,610 = 204,610 : x
  2. Step 2: Convert to fraction form
    136,060/204,610 = 204,610/x
  3. Step 3: Cross multiply
    136,060x = 204,610 × 204,610
  4. Step 4: Simplify right side
    136,060x = 41,865,252,100
  5. Step 5: Solve for x
    x = 41,865,252,100/136,060
  6. Step 6: Final answer
    x = 307,696.99

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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.