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Finding the Third Proportional to 127,911 and 271,407

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Solution

The third proportional to 127,911 and 271,407 is: 575,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,911 : 271,407 = 271,407 : x
  2. Step 2: Convert to fraction form
    127,911/271,407 = 271,407/x
  3. Step 3: Cross multiply
    127,911x = 271,407 × 271,407
  4. Step 4: Simplify right side
    127,911x = 73,661,759,649
  5. Step 5: Solve for x
    x = 73,661,759,649/127,911
  6. Step 6: Final answer
    x = 575,882.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.