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Finding the Third Proportional to 65,409 and 141,285

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Solution

The third proportional to 65,409 and 141,285 is: 305,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409 : 141,285 = 141,285 : x
  2. Step 2: Convert to fraction form
    65,409/141,285 = 141,285/x
  3. Step 3: Cross multiply
    65,409x = 141,285 × 141,285
  4. Step 4: Simplify right side
    65,409x = 19,961,451,225
  5. Step 5: Solve for x
    x = 19,961,451,225/65,409
  6. Step 6: Final answer
    x = 305,178.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.