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Finding the Third Proportional to 57,652 and 121,898

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Solution

The third proportional to 57,652 and 121,898 is: 257,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,652 : 121,898 = 121,898 : x
  2. Step 2: Convert to fraction form
    57,652/121,898 = 121,898/x
  3. Step 3: Cross multiply
    57,652x = 121,898 × 121,898
  4. Step 4: Simplify right side
    57,652x = 14,859,122,404
  5. Step 5: Solve for x
    x = 14,859,122,404/57,652
  6. Step 6: Final answer
    x = 257,738.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.