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Finding the Third Proportional to 15,867 and 34,650

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Solution

The third proportional to 15,867 and 34,650 is: 75,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867 : 34,650 = 34,650 : x
  2. Step 2: Convert to fraction form
    15,867/34,650 = 34,650/x
  3. Step 3: Cross multiply
    15,867x = 34,650 × 34,650
  4. Step 4: Simplify right side
    15,867x = 1,200,622,500
  5. Step 5: Solve for x
    x = 1,200,622,500/15,867
  6. Step 6: Final answer
    x = 75,667.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.