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Finding the Third Proportional to 21,447 and 44,379

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Solution

The third proportional to 21,447 and 44,379 is: 91,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447 : 44,379 = 44,379 : x
  2. Step 2: Convert to fraction form
    21,447/44,379 = 44,379/x
  3. Step 3: Cross multiply
    21,447x = 44,379 × 44,379
  4. Step 4: Simplify right side
    21,447x = 1,969,495,641
  5. Step 5: Solve for x
    x = 1,969,495,641/21,447
  6. Step 6: Final answer
    x = 91,830.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.