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Finding the Third Proportional to 12,132 and 15,543

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Solution

The third proportional to 12,132 and 15,543 is: 19,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 15,543 = 15,543 : x
  2. Step 2: Convert to fraction form
    12,132/15,543 = 15,543/x
  3. Step 3: Cross multiply
    12,132x = 15,543 × 15,543
  4. Step 4: Simplify right side
    12,132x = 241,584,849
  5. Step 5: Solve for x
    x = 241,584,849/12,132
  6. Step 6: Final answer
    x = 19,913.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.