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Finding the Third Proportional to 15,382 and 20,197

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Solution

The third proportional to 15,382 and 20,197 is: 26,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382 : 20,197 = 20,197 : x
  2. Step 2: Convert to fraction form
    15,382/20,197 = 20,197/x
  3. Step 3: Cross multiply
    15,382x = 20,197 × 20,197
  4. Step 4: Simplify right side
    15,382x = 407,918,809
  5. Step 5: Solve for x
    x = 407,918,809/15,382
  6. Step 6: Final answer
    x = 26,519.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.