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Finding the Third Proportional to 126,658 and 273,620

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Solution

The third proportional to 126,658 and 273,620 is: 591,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,658 : 273,620 = 273,620 : x
  2. Step 2: Convert to fraction form
    126,658/273,620 = 273,620/x
  3. Step 3: Cross multiply
    126,658x = 273,620 × 273,620
  4. Step 4: Simplify right side
    126,658x = 74,867,904,400
  5. Step 5: Solve for x
    x = 74,867,904,400/126,658
  6. Step 6: Final answer
    x = 591,102.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.