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Finding the Third Proportional to 9,890 and 20,980

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Solution

The third proportional to 9,890 and 20,980 is: 44,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890 : 20,980 = 20,980 : x
  2. Step 2: Convert to fraction form
    9,890/20,980 = 20,980/x
  3. Step 3: Cross multiply
    9,890x = 20,980 × 20,980
  4. Step 4: Simplify right side
    9,890x = 440,160,400
  5. Step 5: Solve for x
    x = 440,160,400/9,890
  6. Step 6: Final answer
    x = 44,505.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.