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Finding the Third Proportional to 71,543 and 141,285

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Solution

The third proportional to 71,543 and 141,285 is: 279,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543 : 141,285 = 141,285 : x
  2. Step 2: Convert to fraction form
    71,543/141,285 = 141,285/x
  3. Step 3: Cross multiply
    71,543x = 141,285 × 141,285
  4. Step 4: Simplify right side
    71,543x = 19,961,451,225
  5. Step 5: Solve for x
    x = 19,961,451,225/71,543
  6. Step 6: Final answer
    x = 279,013.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.