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Finding the Third Proportional to 136,110 and 204,303

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Solution

The third proportional to 136,110 and 204,303 is: 306,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,110 : 204,303 = 204,303 : x
  2. Step 2: Convert to fraction form
    136,110/204,303 = 204,303/x
  3. Step 3: Cross multiply
    136,110x = 204,303 × 204,303
  4. Step 4: Simplify right side
    136,110x = 41,739,715,809
  5. Step 5: Solve for x
    x = 41,739,715,809/136,110
  6. Step 6: Final answer
    x = 306,661.64

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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.