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Finding the Third Proportional to 51,868 and 105,638

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Solution

The third proportional to 51,868 and 105,638 is: 215,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,868 : 105,638 = 105,638 : x
  2. Step 2: Convert to fraction form
    51,868/105,638 = 105,638/x
  3. Step 3: Cross multiply
    51,868x = 105,638 × 105,638
  4. Step 4: Simplify right side
    51,868x = 11,159,387,044
  5. Step 5: Solve for x
    x = 11,159,387,044/51,868
  6. Step 6: Final answer
    x = 215,149.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.