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Finding the Third Proportional to 21,213 and 44,747

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Solution

The third proportional to 21,213 and 44,747 is: 94,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 44,747 = 44,747 : x
  2. Step 2: Convert to fraction form
    21,213/44,747 = 44,747/x
  3. Step 3: Cross multiply
    21,213x = 44,747 × 44,747
  4. Step 4: Simplify right side
    21,213x = 2,002,294,009
  5. Step 5: Solve for x
    x = 2,002,294,009/21,213
  6. Step 6: Final answer
    x = 94,389.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.