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Finding the Third Proportional to 12,536 and 19,680

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Solution

The third proportional to 12,536 and 19,680 is: 30,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536 : 19,680 = 19,680 : x
  2. Step 2: Convert to fraction form
    12,536/19,680 = 19,680/x
  3. Step 3: Cross multiply
    12,536x = 19,680 × 19,680
  4. Step 4: Simplify right side
    12,536x = 387,302,400
  5. Step 5: Solve for x
    x = 387,302,400/12,536
  6. Step 6: Final answer
    x = 30,895.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.