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Finding the Third Proportional to 136,007 and 204,129

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Solution

The third proportional to 136,007 and 204,129 is: 306,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,007 : 204,129 = 204,129 : x
  2. Step 2: Convert to fraction form
    136,007/204,129 = 204,129/x
  3. Step 3: Cross multiply
    136,007x = 204,129 × 204,129
  4. Step 4: Simplify right side
    136,007x = 41,668,648,641
  5. Step 5: Solve for x
    x = 41,668,648,641/136,007
  6. Step 6: Final answer
    x = 306,371.35

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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.