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Finding the Third Proportional to 53,257 and 115,910

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Solution

The third proportional to 53,257 and 115,910 is: 252,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257 : 115,910 = 115,910 : x
  2. Step 2: Convert to fraction form
    53,257/115,910 = 115,910/x
  3. Step 3: Cross multiply
    53,257x = 115,910 × 115,910
  4. Step 4: Simplify right side
    53,257x = 13,435,128,100
  5. Step 5: Solve for x
    x = 13,435,128,100/53,257
  6. Step 6: Final answer
    x = 252,269.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.