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Finding the Third Proportional to 11,749.50 and 15,957

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Solution

The third proportional to 11,749.50 and 15,957 is: 21,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.50 : 15,957 = 15,957 : x
  2. Step 2: Convert to fraction form
    11,749.50/15,957 = 15,957/x
  3. Step 3: Cross multiply
    11,749.50x = 15,957 × 15,957
  4. Step 4: Simplify right side
    11,749.50x = 254,625,849
  5. Step 5: Solve for x
    x = 254,625,849/11,749.50
  6. Step 6: Final answer
    x = 21,671.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.