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Finding the Third Proportional to 66,105 and 136,655

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Solution

The third proportional to 66,105 and 136,655 is: 282,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 136,655 = 136,655 : x
  2. Step 2: Convert to fraction form
    66,105/136,655 = 136,655/x
  3. Step 3: Cross multiply
    66,105x = 136,655 × 136,655
  4. Step 4: Simplify right side
    66,105x = 18,674,589,025
  5. Step 5: Solve for x
    x = 18,674,589,025/66,105
  6. Step 6: Final answer
    x = 282,498.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.