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Finding the Third Proportional to 9,872 and 20,853

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Solution

The third proportional to 9,872 and 20,853 is: 44,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 20,853 = 20,853 : x
  2. Step 2: Convert to fraction form
    9,872/20,853 = 20,853/x
  3. Step 3: Cross multiply
    9,872x = 20,853 × 20,853
  4. Step 4: Simplify right side
    9,872x = 434,847,609
  5. Step 5: Solve for x
    x = 434,847,609/9,872
  6. Step 6: Final answer
    x = 44,048.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.