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Finding the Third Proportional to 115,138 and 271,410

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Solution

The third proportional to 115,138 and 271,410 is: 639,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,138 : 271,410 = 271,410 : x
  2. Step 2: Convert to fraction form
    115,138/271,410 = 271,410/x
  3. Step 3: Cross multiply
    115,138x = 271,410 × 271,410
  4. Step 4: Simplify right side
    115,138x = 73,663,388,100
  5. Step 5: Solve for x
    x = 73,663,388,100/115,138
  6. Step 6: Final answer
    x = 639,783.46

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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.