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Finding the Third Proportional to 9,791 and 21,823

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Solution

The third proportional to 9,791 and 21,823 is: 48,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791 : 21,823 = 21,823 : x
  2. Step 2: Convert to fraction form
    9,791/21,823 = 21,823/x
  3. Step 3: Cross multiply
    9,791x = 21,823 × 21,823
  4. Step 4: Simplify right side
    9,791x = 476,243,329
  5. Step 5: Solve for x
    x = 476,243,329/9,791
  6. Step 6: Final answer
    x = 48,640.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.