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Finding the Third Proportional to 23,756 and 51,319

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Solution

The third proportional to 23,756 and 51,319 is: 110,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756 : 51,319 = 51,319 : x
  2. Step 2: Convert to fraction form
    23,756/51,319 = 51,319/x
  3. Step 3: Cross multiply
    23,756x = 51,319 × 51,319
  4. Step 4: Simplify right side
    23,756x = 2,633,639,761
  5. Step 5: Solve for x
    x = 2,633,639,761/23,756
  6. Step 6: Final answer
    x = 110,862.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.