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Finding the Third Proportional to 54,457 and 117,257

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Solution

The third proportional to 54,457 and 117,257 is: 252,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,457 : 117,257 = 117,257 : x
  2. Step 2: Convert to fraction form
    54,457/117,257 = 117,257/x
  3. Step 3: Cross multiply
    54,457x = 117,257 × 117,257
  4. Step 4: Simplify right side
    54,457x = 13,749,204,049
  5. Step 5: Solve for x
    x = 13,749,204,049/54,457
  6. Step 6: Final answer
    x = 252,478.18

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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.