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Finding the Third Proportional to 9,742 and 20,815

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Solution

The third proportional to 9,742 and 20,815 is: 44,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 20,815 = 20,815 : x
  2. Step 2: Convert to fraction form
    9,742/20,815 = 20,815/x
  3. Step 3: Cross multiply
    9,742x = 20,815 × 20,815
  4. Step 4: Simplify right side
    9,742x = 433,264,225
  5. Step 5: Solve for x
    x = 433,264,225/9,742
  6. Step 6: Final answer
    x = 44,473.85

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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.