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Finding the Third Proportional to 13,380 and 20,382

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Solution

The third proportional to 13,380 and 20,382 is: 31,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380 : 20,382 = 20,382 : x
  2. Step 2: Convert to fraction form
    13,380/20,382 = 20,382/x
  3. Step 3: Cross multiply
    13,380x = 20,382 × 20,382
  4. Step 4: Simplify right side
    13,380x = 415,425,924
  5. Step 5: Solve for x
    x = 415,425,924/13,380
  6. Step 6: Final answer
    x = 31,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.