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Finding the Third Proportional to 57,118 and 126,470

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Solution

The third proportional to 57,118 and 126,470 is: 280,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118 : 126,470 = 126,470 : x
  2. Step 2: Convert to fraction form
    57,118/126,470 = 126,470/x
  3. Step 3: Cross multiply
    57,118x = 126,470 × 126,470
  4. Step 4: Simplify right side
    57,118x = 15,994,660,900
  5. Step 5: Solve for x
    x = 15,994,660,900/57,118
  6. Step 6: Final answer
    x = 280,028.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.