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Finding the Third Proportional to 23,756 and 50,806

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Solution

The third proportional to 23,756 and 50,806 is: 108,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756 : 50,806 = 50,806 : x
  2. Step 2: Convert to fraction form
    23,756/50,806 = 50,806/x
  3. Step 3: Cross multiply
    23,756x = 50,806 × 50,806
  4. Step 4: Simplify right side
    23,756x = 2,581,249,636
  5. Step 5: Solve for x
    x = 2,581,249,636/23,756
  6. Step 6: Final answer
    x = 108,656.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.