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Finding the Third Proportional to 115,108 and 271,342

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Solution

The third proportional to 115,108 and 271,342 is: 639,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,108 : 271,342 = 271,342 : x
  2. Step 2: Convert to fraction form
    115,108/271,342 = 271,342/x
  3. Step 3: Cross multiply
    115,108x = 271,342 × 271,342
  4. Step 4: Simplify right side
    115,108x = 73,626,480,964
  5. Step 5: Solve for x
    x = 73,626,480,964/115,108
  6. Step 6: Final answer
    x = 639,629.57

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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.