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Finding the Third Proportional to 51,918 and 115,518

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Solution

The third proportional to 51,918 and 115,518 is: 257,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918 : 115,518 = 115,518 : x
  2. Step 2: Convert to fraction form
    51,918/115,518 = 115,518/x
  3. Step 3: Cross multiply
    51,918x = 115,518 × 115,518
  4. Step 4: Simplify right side
    51,918x = 13,344,408,324
  5. Step 5: Solve for x
    x = 13,344,408,324/51,918
  6. Step 6: Final answer
    x = 257,028.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.