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Finding the Third Proportional to 57,456 and 121,869

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Solution

The third proportional to 57,456 and 121,869 is: 258,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 121,869 = 121,869 : x
  2. Step 2: Convert to fraction form
    57,456/121,869 = 121,869/x
  3. Step 3: Cross multiply
    57,456x = 121,869 × 121,869
  4. Step 4: Simplify right side
    57,456x = 14,852,053,161
  5. Step 5: Solve for x
    x = 14,852,053,161/57,456
  6. Step 6: Final answer
    x = 258,494.38

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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.