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Finding the Third Proportional to 19,680 and 27,448

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Solution

The third proportional to 19,680 and 27,448 is: 38,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 27,448 = 27,448 : x
  2. Step 2: Convert to fraction form
    19,680/27,448 = 27,448/x
  3. Step 3: Cross multiply
    19,680x = 27,448 × 27,448
  4. Step 4: Simplify right side
    19,680x = 753,392,704
  5. Step 5: Solve for x
    x = 753,392,704/19,680
  6. Step 6: Final answer
    x = 38,282.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.