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Finding the Third Proportional to 8,382 and 17,580

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Solution

The third proportional to 8,382 and 17,580 is: 36,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 17,580 = 17,580 : x
  2. Step 2: Convert to fraction form
    8,382/17,580 = 17,580/x
  3. Step 3: Cross multiply
    8,382x = 17,580 × 17,580
  4. Step 4: Simplify right side
    8,382x = 309,056,400
  5. Step 5: Solve for x
    x = 309,056,400/8,382
  6. Step 6: Final answer
    x = 36,871.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.