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Finding the Third Proportional to 9,878 and 21,943

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Solution

The third proportional to 9,878 and 21,943 is: 48,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878 : 21,943 = 21,943 : x
  2. Step 2: Convert to fraction form
    9,878/21,943 = 21,943/x
  3. Step 3: Cross multiply
    9,878x = 21,943 × 21,943
  4. Step 4: Simplify right side
    9,878x = 481,495,249
  5. Step 5: Solve for x
    x = 481,495,249/9,878
  6. Step 6: Final answer
    x = 48,744.20

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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.