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Finding the Third Proportional to 126,869 and 272,875

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Solution

The third proportional to 126,869 and 272,875 is: 586,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,869 : 272,875 = 272,875 : x
  2. Step 2: Convert to fraction form
    126,869/272,875 = 272,875/x
  3. Step 3: Cross multiply
    126,869x = 272,875 × 272,875
  4. Step 4: Simplify right side
    126,869x = 74,460,765,625
  5. Step 5: Solve for x
    x = 74,460,765,625/126,869
  6. Step 6: Final answer
    x = 586,910.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.