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Finding the Third Proportional to 11,513 and 16,439

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Solution

The third proportional to 11,513 and 16,439 is: 23,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513 : 16,439 = 16,439 : x
  2. Step 2: Convert to fraction form
    11,513/16,439 = 16,439/x
  3. Step 3: Cross multiply
    11,513x = 16,439 × 16,439
  4. Step 4: Simplify right side
    11,513x = 270,240,721
  5. Step 5: Solve for x
    x = 270,240,721/11,513
  6. Step 6: Final answer
    x = 23,472.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.