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Finding the Third Proportional to 21,982 and 48,878

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Solution

The third proportional to 21,982 and 48,878 is: 108,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 48,878 = 48,878 : x
  2. Step 2: Convert to fraction form
    21,982/48,878 = 48,878/x
  3. Step 3: Cross multiply
    21,982x = 48,878 × 48,878
  4. Step 4: Simplify right side
    21,982x = 2,389,058,884
  5. Step 5: Solve for x
    x = 2,389,058,884/21,982
  6. Step 6: Final answer
    x = 108,682.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.