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Finding the Third Proportional to 9,800 and 20,984

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Solution

The third proportional to 9,800 and 20,984 is: 44,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800 : 20,984 = 20,984 : x
  2. Step 2: Convert to fraction form
    9,800/20,984 = 20,984/x
  3. Step 3: Cross multiply
    9,800x = 20,984 × 20,984
  4. Step 4: Simplify right side
    9,800x = 440,328,256
  5. Step 5: Solve for x
    x = 440,328,256/9,800
  6. Step 6: Final answer
    x = 44,931.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.