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Finding the Third Proportional to 4,218 and 9,961

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Solution

The third proportional to 4,218 and 9,961 is: 23,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 9,961 = 9,961 : x
  2. Step 2: Convert to fraction form
    4,218/9,961 = 9,961/x
  3. Step 3: Cross multiply
    4,218x = 9,961 × 9,961
  4. Step 4: Simplify right side
    4,218x = 99,221,521
  5. Step 5: Solve for x
    x = 99,221,521/4,218
  6. Step 6: Final answer
    x = 23,523.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.