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Finding the Third Proportional to 11,455.17 and 15,709.57

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Solution

The third proportional to 11,455.17 and 15,709.57 is: 21,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.17 : 15,709.57 = 15,709.57 : x
  2. Step 2: Convert to fraction form
    11,455.17/15,709.57 = 15,709.57/x
  3. Step 3: Cross multiply
    11,455.17x = 15,709.57 × 15,709.57
  4. Step 4: Simplify right side
    11,455.17x = 246,790,599.40
  5. Step 5: Solve for x
    x = 246,790,599.40/11,455.17
  6. Step 6: Final answer
    x = 21,544.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.