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Finding the Third Proportional to 136,238 and 204,403

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Solution

The third proportional to 136,238 and 204,403 is: 306,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,238 : 204,403 = 204,403 : x
  2. Step 2: Convert to fraction form
    136,238/204,403 = 204,403/x
  3. Step 3: Cross multiply
    136,238x = 204,403 × 204,403
  4. Step 4: Simplify right side
    136,238x = 41,780,586,409
  5. Step 5: Solve for x
    x = 41,780,586,409/136,238
  6. Step 6: Final answer
    x = 306,673.52

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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.