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Finding the Third Proportional to 136,830 and 204,696

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Solution

The third proportional to 136,830 and 204,696 is: 306,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,830 : 204,696 = 204,696 : x
  2. Step 2: Convert to fraction form
    136,830/204,696 = 204,696/x
  3. Step 3: Cross multiply
    136,830x = 204,696 × 204,696
  4. Step 4: Simplify right side
    136,830x = 41,900,452,416
  5. Step 5: Solve for x
    x = 41,900,452,416/136,830
  6. Step 6: Final answer
    x = 306,222.70

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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.