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Finding the Third Proportional to 9,727 and 20,435

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Solution

The third proportional to 9,727 and 20,435 is: 42,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727 : 20,435 = 20,435 : x
  2. Step 2: Convert to fraction form
    9,727/20,435 = 20,435/x
  3. Step 3: Cross multiply
    9,727x = 20,435 × 20,435
  4. Step 4: Simplify right side
    9,727x = 417,589,225
  5. Step 5: Solve for x
    x = 417,589,225/9,727
  6. Step 6: Final answer
    x = 42,930.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.