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Finding the Third Proportional to 21,864 and 48,420

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Solution

The third proportional to 21,864 and 48,420 is: 107,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 48,420 = 48,420 : x
  2. Step 2: Convert to fraction form
    21,864/48,420 = 48,420/x
  3. Step 3: Cross multiply
    21,864x = 48,420 × 48,420
  4. Step 4: Simplify right side
    21,864x = 2,344,496,400
  5. Step 5: Solve for x
    x = 2,344,496,400/21,864
  6. Step 6: Final answer
    x = 107,230.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.