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Finding the Third Proportional to 115,134 and 271,400

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Solution

The third proportional to 115,134 and 271,400 is: 639,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,134 : 271,400 = 271,400 : x
  2. Step 2: Convert to fraction form
    115,134/271,400 = 271,400/x
  3. Step 3: Cross multiply
    115,134x = 271,400 × 271,400
  4. Step 4: Simplify right side
    115,134x = 73,657,960,000
  5. Step 5: Solve for x
    x = 73,657,960,000/115,134
  6. Step 6: Final answer
    x = 639,758.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.