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Finding the Third Proportional to 57,456 and 121,868

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Solution

The third proportional to 57,456 and 121,868 is: 258,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 121,868 = 121,868 : x
  2. Step 2: Convert to fraction form
    57,456/121,868 = 121,868/x
  3. Step 3: Cross multiply
    57,456x = 121,868 × 121,868
  4. Step 4: Simplify right side
    57,456x = 14,851,809,424
  5. Step 5: Solve for x
    x = 14,851,809,424/57,456
  6. Step 6: Final answer
    x = 258,490.14

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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.