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Finding the Third Proportional to 51,072 and 108,408

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Solution

The third proportional to 51,072 and 108,408 is: 230,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072 : 108,408 = 108,408 : x
  2. Step 2: Convert to fraction form
    51,072/108,408 = 108,408/x
  3. Step 3: Cross multiply
    51,072x = 108,408 × 108,408
  4. Step 4: Simplify right side
    51,072x = 11,752,294,464
  5. Step 5: Solve for x
    x = 11,752,294,464/51,072
  6. Step 6: Final answer
    x = 230,112.28

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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.