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Finding the Third Proportional to 10,131.75 and 15,336.75

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Solution

The third proportional to 10,131.75 and 15,336.75 is: 23,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.75 : 15,336.75 = 15,336.75 : x
  2. Step 2: Convert to fraction form
    10,131.75/15,336.75 = 15,336.75/x
  3. Step 3: Cross multiply
    10,131.75x = 15,336.75 × 15,336.75
  4. Step 4: Simplify right side
    10,131.75x = 235,215,900.56
  5. Step 5: Solve for x
    x = 235,215,900.56/10,131.75
  6. Step 6: Final answer
    x = 23,215.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.