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Finding the Third Proportional to 6,980 and 16,580

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Solution

The third proportional to 6,980 and 16,580 is: 39,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 16,580 = 16,580 : x
  2. Step 2: Convert to fraction form
    6,980/16,580 = 16,580/x
  3. Step 3: Cross multiply
    6,980x = 16,580 × 16,580
  4. Step 4: Simplify right side
    6,980x = 274,896,400
  5. Step 5: Solve for x
    x = 274,896,400/6,980
  6. Step 6: Final answer
    x = 39,383.44

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.