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Finding the Third Proportional to 9,906 and 21,521

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Solution

The third proportional to 9,906 and 21,521 is: 46,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 21,521 = 21,521 : x
  2. Step 2: Convert to fraction form
    9,906/21,521 = 21,521/x
  3. Step 3: Cross multiply
    9,906x = 21,521 × 21,521
  4. Step 4: Simplify right side
    9,906x = 463,153,441
  5. Step 5: Solve for x
    x = 463,153,441/9,906
  6. Step 6: Final answer
    x = 46,754.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.