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Finding the Third Proportional to 135,591 and 295,311

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Solution

The third proportional to 135,591 and 295,311 is: 643,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,591 : 295,311 = 295,311 : x
  2. Step 2: Convert to fraction form
    135,591/295,311 = 295,311/x
  3. Step 3: Cross multiply
    135,591x = 295,311 × 295,311
  4. Step 4: Simplify right side
    135,591x = 87,208,586,721
  5. Step 5: Solve for x
    x = 87,208,586,721/135,591
  6. Step 6: Final answer
    x = 643,173.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.