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Finding the Third Proportional to 115,145 and 271,425

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Solution

The third proportional to 115,145 and 271,425 is: 639,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,145 : 271,425 = 271,425 : x
  2. Step 2: Convert to fraction form
    115,145/271,425 = 271,425/x
  3. Step 3: Cross multiply
    115,145x = 271,425 × 271,425
  4. Step 4: Simplify right side
    115,145x = 73,671,530,625
  5. Step 5: Solve for x
    x = 73,671,530,625/115,145
  6. Step 6: Final answer
    x = 639,815.28

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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.