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Finding the Third Proportional to 15,761 and 25,800

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Solution

The third proportional to 15,761 and 25,800 is: 42,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761 : 25,800 = 25,800 : x
  2. Step 2: Convert to fraction form
    15,761/25,800 = 25,800/x
  3. Step 3: Cross multiply
    15,761x = 25,800 × 25,800
  4. Step 4: Simplify right side
    15,761x = 665,640,000
  5. Step 5: Solve for x
    x = 665,640,000/15,761
  6. Step 6: Final answer
    x = 42,233.36

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.